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Evaluate the sums in Exercises 2328.
j=13k=14(3j-4k)

Short Answer

Expert verified

The value of the summation is-48

Step by step solution

01

Step 1. Given information

An expression is given as j=13k=14(3j-4k)

02

Step 2. Evaluating summation

First separate out the term and then simplify,

j=13i=14(3j-4k)=j=13k=14(3j-4k)k=14(3j-4k)=(3j-4×1)+(3j-4×2)+(3j-4×3)+(3j-4×n)=12j-4×(1+2+3+4)=12j-4×10=12j-40j=13k=14(3j-4k)=j=13k=14(3j-4k)=j=13(12j-40)=(12×1-40)+(12×2-40)+(12×3-40)=12(1+2+3)-3×40=12×6-120=72-120=-48

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