Hello there, Im studying for exams and I cant solve this problem for a long time. Please show all steps so I can learn.I will give a like The sequence A, with terms a1, a2, a3, . .., is defined byan = 2", for n >1.The sequence B, with terms b1, b2, b3, ..., is defined bybị = 1, b2 = 1, and b, = bn-1+2b,–2; for n > 3.For example, b3 = b2 + 2b1 = 1+2(1) = 3.In this question, the following facts may be helpful:• A geometric sequence is a sequence in which each term after the first is obtainedfrom the previous term by multiplying it by a non-zero constant called the commonratio. For example, 3,6, 12 is a geometric sequence with three terms and commonratio 2.• The sum of the first n terms of a geometric sequence with first term a, and commonratio r + 1, equals a ( ). (a) What are the 5th terms for each sequence? That is, what are the values of asand b;?(b) For some real numbers p and q, bn = p · (an) + q · (-1)" for all n > 1. (You donot need to show this.) What are the values of p and q?%3DThat is,(c) Let S, be the sum of the first nSn = bị + b2 + b3 + · ··terms in sequence B.+ bn. Determine the smallest positive integer n thatsatisfies S, 2 162021.

Answered: Image /qna-images/answer/f55da872-4e7e-46e3-891e-5a32602e4180.jpg

(a) What are the 5th terms for each sequence? That is, what are the values of a, and b5? (b) For some real numbers p and q, bn = p · (an) + q · (-1)" for all n > 1. (You do not need to show this.) What are the values of p and q?

(a) What are the 5th terms for each sequence? That is, what are the values of a, and b5? (b) For some real numbers p and q, bn = p · (an) + q · (-1)" for all n > 1. (You do not need to show this.) What are the values of p and q?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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