Determine if the series converges or diverges and if the sum can be determined 7n Σ 4 n=1 n (BE SURE TO SHOW YOUR WORK AND LIST THE TEST THAT WAS USED)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 25RE: Use the formula for the sum of the first nterms of a geometric series to find S9 , for the series...
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Determine if the series converges or diverges and if the sum can be determined
O A. The series converges and the sum cannot be determined
7n
B. The series converges to
4
n = 1 n
O C. The series diverges
(BE SURE TO SHOW YOUR WORK - AND LIST THE
TEST THAT WNAS USED)
ES
Transcribed Image Text:Determine if the series converges or diverges and if the sum can be determined O A. The series converges and the sum cannot be determined 7n B. The series converges to 4 n = 1 n O C. The series diverges (BE SURE TO SHOW YOUR WORK - AND LIST THE TEST THAT WNAS USED) ES
Expert Solution
Step 1

Given information:

n=17nn4

P series Test to find the series converge or diverge.

n=11np=11p+12p+13p+.....for p>0

If P is greater then 1 than the p-series converges,

If 0<P<1 then the series is Diverges.

 

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