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In the following exercises, expand the partial sum and find its value.

∑k=14k+12k+1

Short Answer

Expert verified

The partial sum is 94.

Step by step solution

01

Step 1. Given information.

The given expression is,

∑k=14k+12k+1.

02

Step 2. Finding the partial sum.

Now, to expand the partial sum we will substitute 1,2,3,and 4respectively and then simplify.

∑k=14k+12k+1=1+121+1+2+122+1+3+123+1+4+124+1=23+35+47+59=6+15+28+45=94

Therefore, the partial sum is 94.

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