Solution to Compute the value of the double summation: ∑<sup>4</sup><sub>i = 1</sub>∑<sup>4</sup><sub>j = i</sub> (3i + j) - Sikademy

Nov. 15, 2019

Archangel Macsika Sikademy Image

Archangel Macsika

Compute the value of the double summation: ∑4i = 14j = i (3i + j)

Solution for: ∑4i = 14j = i (3i + j)

Evaluating the first sum: ∑4j = i

When j = i in (3i + j)

4j = i = (3i +i) + (3i +i) + (3i +i) + (3i +i)

4j = i = 4i + 4i + 4i + 4i = 16i

Next, Evaluate the second sum: ∑4i = 1 using 16i

when i = 1 in (16i)

4i = 1 = 16(1) + 16(2) + 16(3) + 16(4)

= 16 + 32 + 48 + 64 = 160

∴ ∑4i = 14j = i (3i + j) = 160

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