Basic Math question and answers for August 17, 2024
- Q Rosurvastatin/Crestor is a medicine used to decrease bad cholesterol and increase good cholesterol in the body. The half-life of Rosurvastatin is 1 day, which means that at the end of...
- Q Find a formula for the n partial sum of the series series converges.The formula for the nA. The series converges. The series' sum isB. The series diverges.If the series converges,...
- Q 11. (a) Write the first 5 terms of a power series approximation for f(x) = e-x* centered atX = 0.(b) Use the above power series approximation to find an approximation...
- Q The real number 0.9 can be written as an infinite series as shown below:(a) Write the infinite series in sigma notation and use the formula for the sum of ainfinite...
- Q A bottle contains 95 milliliters of lemon extract solution. If. the extract contains 25 milliliters of alcohol, what is the volume percent (v/v) of the alcohol in the solution? Make...
- Q Find the Maclaurin series of sin(x7)
- Q Determine whether the following statement is true or false, and explain why.In a Markov chain, the outcome of an experiment depends only on the present state and not on any...
- Q Write the terms of 4?i=1 f(xi) ?x., with x? = 2, X? = 6, x3 = 4, x4 = 0, and Ax=0.2, for the function f(x) =-5/x+1What is the first...
- Q Write the first five terms of the sequence whose general term, an, is given asan=-5n+ 8.
- Q Find the missing terms of the sequence and determine if the sequence is arithmetic, geometric, or neither.6, 11, 16, 21,_______,______ .
- Q Write the terms of 4?i=1 f(x1) ?x with x? = 0, x? = 2, x3 = 4, x4= 6, and ?x=1.5, for the function f(x) = 7x. Evaluate the sum.What...
- Q A painting sold for $277 in 1978 and was sold again in 1990 for $485. Assume that the growth in the value V of the collector's item was exponential.a) Find...
- Q A manufacturer producing a new product, estimates the annual sales to be 9,200 units. Each year, 8% of the units that have been sold will become inoperative. So, 9,200 units...
- Q Let an 2 + (-3)(n-1)a) To find a3, which variable in the equation should we substitute 3 in?b) If a7 = -16, which part in the equation an = 2...
- Q Find the first 5 terms of the following sequence:an = 2an-2+ an-1 for n > 2; a? = 1, a? = 2Answers:
- Q Find the first 5 terms of the following sequence: a = (-1)n 2nAnswers:
- Q Find the first 5 terms of the following sequence: an=n!(-1)nAnswers:
- Q Let an = 2 + (-3) (n ? 1)Find a10.
- Q Use the notation for sequences to translate the following to mathematical equations."The nth term of the sequence is 78."Use fx to type math equations or insert a image of your...
- Q Determine whether the sequence is geometric, arithmetic, neither with a defined general term, or neither with an undefined term, in any case justify your answer.3, 1, 4, 1, 5, 9,...
- Q Suppose a flu epidemic has broken out in all math 120 courses at your school. Assume a total of 12 people have the flu as of today and that each...
- Q Which term is -234,375 for the following sequence, assuming that the pattern continues?3, -15, 75, -375,...a8a9a10a11
- Q Solve the equation and write the solution set. Write the solutions in order fromsmallest to largest. Use / to write fractions. Do not enter any spaces in the answer. ...
- Q Zina spends 15 hours setting up her sewing machine and making one hat. The total amount of time spent making hats can be represented by the sequence below1.5, 2.25, 30,3.75....
- Q A scientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to live for one week without producing any additional...
- Q Use a formula to find the sum of the following arithmetic series.1+2+3+4+ ... +34The sum of the given arithmetic series is (Simplify your answer)
- Q Find the first four terms of the arithmetic sequence whose first term is 8 and whose common difference is -3.What is the first term?a? = ?
- Q Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine the convergence or divergence of the series.? 1/2?? 1/(2^x) dx= _____convergesdiverges
- Q Find the common difference d for the arithmetic sequence.-7, -13, -19, -25,...d = ?
- Q An auditorium has 20 rows of seats. There are n = 24 seats in the first row, 25 seats in the second row, 26 seats in the third row, and...
- Q Consider the series ?1(a) Does the sequence {an} = 1 converge or diverge?(b) Does this series converge or diverge?(c) How many terms are required for the sum to exceed 50?...
- Q Find a1 and d for the following arithmetic series.S12 = 300, a12 = 47a1 = ____.
- Q 300 people are lined up outside of Disneyland, and all enter by 8:15 am. By 8:30 am, 550 more people enter, and every 15 minutes afterwards, the number of people...
- Q For the arithmetic sequence, find a18 and an when a1 = 7 and d = -5.a18 = -78.an = ____.
- Q Evaluate the sum.10?(j + 4).j=110?(j + 4) = _______j=1
- Q The median home value in Georgia and Colorado (adjusted for inflation) are shown below. Year Georgia ...
- Q Find the sum of all integers from 53 to 98.The sum of all integers from 53 to 98 is ______________.
- Q Find a1 and d for the arithmetic series.S12 = -108, a12 = -20a1 = _____.
- Q Find the sum of the first ten terms of the arithmetic series.a1 = 2, d = -3S10 = ______.
- Q In an arithmetic sequence a?? = 2 and a?? = 12. Determine a?. a?=
- Q Write the first five terms of the geometric sequence.an = -6a(n-1), a? = 12
- Q Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated term of the sequence with the given first term, a1 and common...
- Q Write a formula for the general term (the nth term) of the arithmetic sequence shown below. Do not use a recursion formula. Then use the formula for an to find...
- Q Find the sum of the first 40 positive even integers,
- Q Write the first six terms of the following arithmetic sequence.an= a(n-1)-0.3, a? = 0.9
- Q Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the following sequence with the given first term, a?, and...
- Q Write the first six terms of the arithmetic sequence shown below.an = a(n-1) +9, a? = -7
- Q Use the sequence to answer the following.0, 2, 4, 6,.......The sequence shown is___and uses a common___which is___The next three (3) terms would be___,____, and___Use the sequence to find the following.a(1)...
- Q Find the 9th term of the given geometric sequence:1, 3, 9, 27....A) 6561B) 271C) 19683D 243
- Q What is the explicit rule for the geometric sequence 3, 12, 48,...?A) f(n)= 9n-1B) f(n) = 4(3)n-1c) f(n) = 3(4)n-1D) f(n) = 4n-1 +3
- Q The richest family in town hires you to do 2 weeks of work landscaping their estate, but they're a little bit eccentric. Instead of justmaking an offer, they give you...
- Q The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal...
- Q Find the seventh term of a sequence whose first three terms are 1, 4, 9.
- Q An arithmetic sequence is one that involves adding or subtracting by the same number to each term in the sequence.A geometric sequence is one that involves multiplying or dividing by...
- Q Find ag in the sequence 4, 8, 16, 32, ...A) 512B) 384C) 1,024D) 768
- Q A homeowner purchases a riding lawn mower for $3600. Its value is expected to depreciate (decrease) by $400 each year. How many years will it take for the lawn mower...
- Q Find the thirty-second term of the following sequence.9, 15, 21, ...199195186
- Q This month a city has 50 street lights installed. Nextmonth it plans to have 54 lights installed, and 58 thefollowing month. If this rate of change continues eachmonth, what is...
- Q Given the sequence 6, 18, 54, 162, ..., which expression would give the fifteenth term?.6.3146156.315
- Q A city presently has 2800 water meters installed (business and residential). The planning board estimates that an average of 30 new ones will be installed each month. How many water...
- Q Find the 30th term of the following sequence.1, 7, 13, 19, ...180174175181
- Q Given the following geometric sequence, find the common ratio.(0.45, 0.9, 1.8,...)20.450.91|2
- Q For the following geometric sequence find the explicit formula: (-1, 3, -9, ...).an-3-an-1 where a=-1an = (-3) -1an-3 an-1 where a 1an=-1-(-3) -1
- Q For the following geometric sequence find the recursive formula and the 5th term in the sequence. Inyour final answer, include all of your work.{-4, 12, -36,...}
- Q Find the common ratio for the following sequence.1/2, -1/4, 1/8, -1/16, ...1/2-2-1/22
- Q What is the next term of the following sequence?12, 6, 3, ...0142
- Q Given the sequence 7, 14, 28, 56, which expression shown would give the tenth term?7.297.210710....
- Q A payday loan store charges $25 for a one-month loan of $240. What annual interest rate is this equivalent to?
- Q Which of the following is an arithmetic sequence?-2, 4, -6, 8, ...2, 4, 8, 16, ...-8, -6, -4, -2, ...
- Q Find the common difference for the sequence shown1/4, 5/16, 3/8, ...1/161/41/2
- Q Find the common difference of the arithmetic sequence shown.1/4 , 3/8, 1/2, ...
- Q What is the common ratio of the following sequence?-5, -20, -80, ...0404-4
- Q The number of cars sold weekly by a new automobile dealership grows according to a linear growthmodel. The first week the dealership sold six cars (Po= 6). The second week...
- Q Find the 30th term of the following sequence.2, 8, 14, 20, ...176182180174
- Q Find the common difference of the sequence shown.1/6, 1/4, 1/31/121/31/6
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