Compute each of these double sums: a) \sum_{i=1}^2\sum_{i+1}^3(i+j) b) =\sum_{i=1}^2(i+1+i+2+j+3)

gabioskay7

gabioskay7

Answered question

2021-11-13

Compute each of these double sums:
a) i=12i+13(i+j)
b) =i=12(i+1+i+2+j+3)

Answer & Explanation

Pulad1971

Pulad1971

Beginner2021-11-14Added 22 answers

Part A:
Compute this double sum by first computing the inner sum followed by the outer sum.
i=12j=13(i+j)
=i=12(i+1+i+2+i+3)
=3i=12(i+2)
=3(1+2+2+2)
=21
Part B:
Compute this double sum by first computing the inner sum followed by the outer sum.
=i=02j=03(2i+3j)
=i=02(2i+0+2i+3+2i+6+2i+9)
=i=02(8i+18)
=8(0)+18+8(1)+18+8(2)+18
=78

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