Basic Math question and answers for August 16, 2024
- Q Consider the following geometric series.?Find the common ratio.Determine whether the geometric series is convergent or divergent.convergentdivergent
- Q Consider the following geometric series.2 + 0.5 + 0.125 + 0.03125 + ...Find the common ratio.|r| =Determine whether the geometric series is convergent or divergent.convergentdivergentIf it is convergent, find its...
- Q 7. A theater has 30 rows of seats. The first rowcontains 20 seats, the second row contains 21 seats,and so on, such that each row has one more seat thanthe...
- Q Given the sequence 34, 42, 50, 58, 66,..., find:a) The next term in the sequence.b) The recursive formula.c) The explicit formula.d) The 10,000th term in the sequence.
- Q Write the terms a?, 82, 83, and as of the following sequence. If the sequence appears to converge, make a conjecture about its limit. If the sequence diverges, explain why....
- Q Rakesh and Tessa were asked to find an explicit formula for the sequence 100, 50, 25, 12.5,..., where the first term should be f(1).Rakesh said the formula is f(n) =...
- Q Given the recursive formula shown, what are the first 4 terms of the sequence?f(n) = f(1) = 8[f(n)=f(n-1)+7 if n>1OA) 7, 13, 19, 25B) 6, -1, -8, -15C) 6, 42,...
- Q Billy writes out all of the numbers from 1 to 103 on the board, in order from smallest to largest from left to right. He then goes down the board,...
- Q Two students collect baseball cards. Shushu has 210 cards, and Vivak has 160 cards. Shushu adds 8 new cards to her collection each month, and Vivak adds 13 new cards...
- Q Simone, Sergio, Maria, Kim, Dawn, Tyrone, and Larry have all been invited to a dinner party. They arrive randomly and each person arrives at a different time.a. In how many...
- Q Jake has started an exercise program. Each day he increases the number of sit-ups that he does by a constant amount. On day one, he did 7 sit-ups. In the...
- Q The observation deck of the Space Needle in Seattle, Washington, is 526 feet above the ground. A six-foot-tall man is watching a car on the street below. Let d represent...
- Q What is the explicit rule for the nth term of the geometric sequence?4, 12, 36, 108, 324, ...an = 4(3n)an = 3(4n-1)an = 4(3n-1)an = 4(3n+1)
- Q My water bill includes a fixed cost per month plus a fee for each gallon used in a month. In February, I used 1200 gallons and paid $53 and in...
- Q A supermarket finds that the number of boxes of a new cereal sold increases each week. In the first week, only 20 boxes of the cereal were sold. In the...
- Q Suppose you agreed to work for 1 the first day, 2 the second day, 4 the third day, 8 the fourth day, and so on, with your wages doubling each...
- Q Given two terms in an arithmetic sequence, find the first five terms:a18 = -80 and a35 = -131-29, -32, -35, -38, -41-29, -24, -19, -14, -9-29, -25, -21, -17, -13-29,...
- Q Find the nth degree Taylor polynomial Tn for n = 0, 1, 2, and 3 generated by the function f(x) = sin x about the point x = ?/3.To(x) =...
- Q Match an expression for the apparent nth term of the sequence. (Assume n begins with 1) 1. 3, 7, 11, 15, 19, ... 2.1, 1/4,1/9,1/16,1/25,...3. 2/1,3/3,4/5,5/7,6/9,.. 4. 1/3,-2/9,4/27,-8/81,...A. an =n+1/2n-1...
- Q Dante is making a necklace with 18 rows of tiny beads in which the number of beads per row is given bythe series 3 + 10 + 17 + 24...
- Q You are walking along a beach and your toe hits something hard You reach down, grabonto a handle, and pull out a lamp! It is sandy. You start to brush...
- Q Let the sequence A0, A1, A2, A3,... be defined by the formula a =nteger n ? 0.Which of the following recurrence relation, if any, does this sequence satisfy?O This sequence...
- Q Does the infinite series below converge or diverge? If it converges, what is the sum?10+2+2/5+2/25+...It converges; the sum is 12.5.it converges; the sum is 15.lt converges; the sum is 25.lt...
- Q A wildlife refuge currently has 100 deer in it. A local wildlife society decides to add an additional 2 deer each month. It is already known that the deer population...
- Q Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are given.a=-9; d = 4an=?;a6=?an-13+4n; a6 = 43an=-13-4n; a6 =...
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