Question

We consider the sequence\\ $\{a_n\}_{n=1}^{\infty} = \{25/7, 205/49, 1345/343, 9685/2401, 66985/16807, 471325/117649, ...\}$\\ a) Determine the general formula for the terms $a_n$ of the sequence.\\ $a_n = $\\ b) Find the limit of the sequence.\\ $\lim_{n \to \infty} a_n = $ Number

          We consider the sequence\\
$\{a_n\}_{n=1}^{\infty} = \{25/7, 205/49, 1345/343, 9685/2401, 66985/16807, 471325/117649, ...\}$\\
a) Determine the general formula for the terms $a_n$ of the sequence.\\
$a_n = $\\
b) Find the limit of the sequence.\\
$\lim_{n \to \infty} a_n = $ Number

$We consider the sequence {an}n=1^∞ = {25/7, 205/49, 1345/343, 9685/2401, 66985/16807, 471325/117649, ...} a) Determine the general formula for the terms an of the sequence. an = b) Find the limit of the sequence. limn →∞ an = Number$

Added by Kara H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Uma Kumari

08/18/2021

Step 1

The numerator of each term is 8 times the numerator of the previous term, and the denominator of each term is 7 times the denominator of the previous term. Show more…

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We consider the sequence $\{a_n\}_{n=1}^\infty = \{25/7, 205/49, 1345/343, 9685/2401, 66985/16807, 471325/117649,...\}$ a) Determine the general formula for the terms $a_n$ of the sequence. $a_n = $ b) Find the limit of the sequence. $\lim_{n \to \infty} a_n = $ Number