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Chapter 12: Q. 53 (page 1174)

In the following exercise, expand the partial sum and find its value

鈭�i=142i

Short Answer

Expert verified

Hence,

鈭�i=142i=2+4+8+16=30

Step by step solution

01

Step 1. Given information

Thepartialsumisgivenas鈭�i=142iWehavetoexpandandfindthevalueofthepartialsum.

02

Step 2. Expanding the terms

Wesubstitutethevalues1,2,3,4inorder鈬�鈭�i=142i=21+22+23+24=2+4+8+16

03

Step 3. Calculating the sum

鈬�鈭�i=142i=2+4+8+16=30

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Most popular questions from this chapter

In the following exercises, determine if each sequence is arithmetic, and if so, indicate the common difference.

13,9,5,1,鈭�3,鈭�7,.....

Write the first five terms of the sequence whose general term isan=2n!.

Find the ninth term of the sequence 6,18,54,162,486,1,458,鈥�.Then find the general term for the sequence.

In the following exercises, expand each binomial.

(x+y)3

In the following exercises, write the first five terms of each arithmetic sequence with the given first term and common difference.

a1=5andd=3
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