1. Identify each of the following sequences as arithmetic, geometric, or neither byshowing all your work. [6](i)state whether it is arithmetic, geometric or neither and(ii)find the general term equation tn for each:-2, 14, -98, 686, ..b) 58, 52, 46, 40, . ..

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Answered: 1. Identify each of the following…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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(d) State whether the following sequences are arithmetic, geometric or not any of them. Find the common ratio if it is a geometric sequence and find the common difference d if it is an arithmetic sequence. Then, find the next two terms. i. -3, 3, -3, 3 ii. b, = n2 + 3 ii. 글, 글, 긍 %3D and q = 3. Is 243 a (e) Consider the geometric sequence (b,) with bị term of this sequence? %3D (f) The nineteenth term of a sequence is -52, and the fourth term is -7. The difference between consecutive terms in the sequence is constant. Find the 201 term. (g) Show whether the following sequence is convergent or divergent. lim,(",) (h) Is the following numbers 1,-4,9,-16,... represent a sequence, if so, find a formula for the nh term of the sequence. (i) Show by mathematical induction that for all positive integers n, + +. + = 1- (1) Find the remainder when 3123 is divided by 7.
Determine the explicit formula for the following sequences. 2. Sequence: 6, -6, 6, -6, 6, ... a, = 6 and d=-1 an 3. Sequence: 0.1 ,0.2, 0.4, 1.2, 1.6, ... 0.1 and d= an
In each of the following geometric sequences, find an expression for (i) the 17th term; (ii) for the nth term. a. 2, 2√3, 6, ... b. 2, -2√/2, ... c. -√7,7,,... a. Find the 17th and nth term of the given sequence. a17 = an a17 = b. Find the 17th and nth term of the given sequence. an = = (Simplify your answer. Type an exact answer, using radicals as needed.) a17 = an = (Simplify your answer. Type an exact answer, using radicals as needed.) c. Find the 17th and nth term of the given sequence. (Simplify your answer. Type an exact answer, using radicals as needed.)
2. Find the recursive formula for the following sequence: 2, 5, 10, 17, 26, ... an

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1. Identify each of the following sequences as arithmetic, geometric, or neither by showing all your work. [6] (i) state whether it is arithmetic, geometric or neither and (ii) find the general term equation tn for each: -2, 14, -98, 686, .. b) 58, 52, 46, 40, . . .