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Chapter 12: Q 60. (page 809)

In Problems 51鈥�60, write out each sum.

鈭�k=3n-1k+12k

Short Answer

Expert verified

The required sum is鈭�k=3n-1k+12k==8-16+32-........+-1n+1路2n.

Step by step solution

01

Step 1. Write the given information.

The given summation notation is:

鈭�k=3n-1k+12k

02

Step 2. Write out the sum.

To get the sum, we need to substitute 3,4,5,......,nfor k,in the given sequence 鈭�k=3n-1k+12k,

鈭�k=3n-1k+12k=-13+123+-14+124+-15+125+......+-1n+12n=-14路8+-15路16+-16路32+.......+-1n+1路2n=8-16+32-........+-1n+1路2n

Therefore,localid="1646756404405" 鈭�k=3n-1k+12k==8-16+32-........+-1n+1路2n.

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Most popular questions from this chapter

In Problems 61鈥�70, express each sum using summation notation.

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