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Chapter 12: Q. 323 (page 1222)

Expand the partial sum and find its value. 鈭�(-4)ii=14

Short Answer

Expert verified

The value of the partial sum 鈭�(-4)ii=14is 204

Step by step solution

01

Step 1. Given

The partial sum is鈭�(-4)ii=14

To find the value of partial sum.

02

Step 2. Substitute the values and expand the partial sum.

Substitute the values of ifrom 1and expand them.

鈭�(-4)i=i=14(-4)1+(-4)2+(-4)3+(-4)4

03

Step 3. Find the values of expanded term

鈭�(-4)ii=14=(-4)+16+(-64)+256=204

The value of partial sum is 204

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