Write the first five terms of the geometric sequence defined recursively. Find the common ratio and write the nth term of the sequence as a function of n. (nth term formula: An = a1(r)-1) 1 a1 = 625, ak 11 = 5 -ak aj = a2 a3 = 04 = Preview 05 Preview r = Preview an = Preview Find the 6th of the geometric sequence: {64a( – b), 32a( – 36), 16a( – 96), 8a( – 27b), ...} an...
13. Consider the sequence of numbers ao, ai, a2, a3, given by ao-2, ai-3, and for any positive integer k 2, a3ak 2ak-1. (a) Evaluate a2,a3, a4,as. Show your work. (b) Prove that for all positive integers n, an 2 +1
Question 15. Points possible: 6 This is attempt 1 of 1. a) Consider the sequence: 7, 9, 11, 13 Find the missing term above. Is this sequence arithmetic, geometric, or neither? b) Consider the sequence: 3, 6, 12, 24 Find the missing term above. Is this sequence arithmetic, geometric, or neither? c) Consider the sequence: 5, 10, 17, 26 Find the missing term above. Is this sequence arithmetic, geometric, or neither? d) Consider the sequence: 4, 15, 26, 37 Find...
Given a geometric sequence whose third term 3/4 and seventh
term is 243/64. Find the fifth term of the sequence
3 243 18. and seventh term is Given a geometric sequence whose third term 4 64 Find the fifth term of the sequence.
Write a formula for the nth term of the following geometric sequence '3 9' 27 Find a formula for the nth term of the geometric sequence. n- 1
3. 11,7,3,-1,-5-4-9-13-11-2 a) arithmetic b) a = 11 + (8 - 1) = 4 c) -21 10.4 For questions 1-5, a. Determine if the sequence is arithmetic or geometric. b. Write a formula for the nth term in the sequence. c. Find the 9th term in the sequence, using the formula from part b.
Page < 2 > of 3 ZOOM 1. A formula is given below for the nth term a, of a sequence [an]. Find the values of a4, 22 a3, and as. Simplify your answers. a. (–1)n-13n (n + 1)! b. 2" er-1
7. Find the next two terms of each geometric sequence. a.-3.9. - 27. 81.... b. I. -1.1.-1.1. - 1.... 8. Find the first five terms of the geometric sequence for which ,- -2 and 3. 9. Find , for the geometric sequence 60, 30, 15.... 10. Write an equation for the nth term of the geometric sequence 4, 8, 16,... 11. The second term in a geometric sequence is -2 and the third term is-6. Find an equation for the...
Expand the expression: (2x - 3) Preview 1 0 Question 12 P This is attempt of a) Consider the sequence: 8, 12, 16, 20 F ind the missing term above. Is this sequence arithmetic, geometric, or neither? b) Consider the sequence: 4, 16, 28, 40 Find the missing term above. Is this sequence arithmetic, geometric, or neither? c) Consider the sequence: 7, 12, 19, 28 Find the missing term above. Is this sequence arithmetic, geometric, or neither? d) Consider the...
(C programming) Given a sequence of numbers a1, a2, a3, ..., an, find the maximum sum of a contiguous subsequence of those numbers. Note that, a subsequence of one element is also a contiquous subsequence. Input The input consists of multiple datasets. Each data set consists of: n a1 a2 . . an You can assume that 1 ≤ n ≤ 5000 and -100000 ≤ ai ≤ 100000. The input end with a line consisting of a single 0. Output...