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Precalculus Mathematics for Calculus
Found in: Page 851
Precalculus Mathematics for Calculus

Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508

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Short Answer

Partial Sums Find the first six partial sums S1,S2,S3,S4,S5,S6 of the sequence whose nth term is given.


The partial sums are:

Firstpartialsum=S1=1.Secondpartialsum=S2=4.Thirdpartialsum=S3=9.Fourthpartialsum=S4=16.Fifthpartialsum=S5=25.Sixth partialsum=S6=36.

See the step by step solution

Step by Step Solution

Step 1.  Given

The given sequence is 1, 3, 5, 7…

Step 2.  To determine

We have to find the first six partial sums.

Step 3.  Calculation

The given sequence is 1, 3, 5, 7…

We see that the terms are increasing by 2.

So, the first 6 terms of these sequence are 1, 3, 5, 7, 9, 11.


Firstpartialsum=S1=1.Secondpartialsum=S2=1+3=4.Thirdpartialsum=S3=1+3+5=9.Fourthpartialsum=S4=1+3+5+7=16.Fifthpartialsum=S5=1+3+5+7+9=25.Sixth partialsum=S6=1+3+5+7+9+11=36.

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