th8. The nterm of an arithmetic sequence is given by: an = a₁ + (n-1)d. Where d is thethcommon difference and the n partial sum of an arithmetic sequence is given by:Sn = n(ª₁ + a₂). Find the sum of the first 100 terms of the following arithmetic sequence:20, 3, 6, 9,... Show your work.

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Answered: 8. The n th term of an arithmetic…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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13. Find the 10th term of the arithmetic sequence whose first term is 5000 and the common difference is -100. Use an = a1 + (n – 1)d А. 5,200 4,900 С. 4,100 D. 6,100 B.
K Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are given. a=5; d=10 an = ?; a16 = ? A. an=5+10n; a16 = 155 OB. an=-5+10n; a16 = 155 OC. an=-5-10n; a16 = 155 OD. an=-5+10n; a16 = 75
1. Express the geometric sequence as an explicit formula. Then find the 20th term. Sequence: 1, 3, 9, 27, ... а. а, 3D 1 b. r = 3 c. f(n) = 1 • ( 3)(n-1) d. f(20) = 1 • ( 3)(20–1)
(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.
11. For the sequence: 7, 11, 15, ... a. Find the value of the 31st term, T31 b. Find the recursive formula
Write an explicit formula for the geometric sequence 4. – 4/3, 4/9, -4/27, …

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8. The n th term of an arithmetic sequence is given by: an = a₁ + (n − 1)d. Where d is the common difference and the nth partial sum of an arithmetic sequence is given by: = n (a₁ +an). Find the sum of the first 100 terms of the following arithmetic sequence: Sn 0, 3, 6, 9,... Show your work.