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Compute the sum

3577

Step-by-step explanation:

From the question given above, the following data were obtained:

7•2ᶦ

i = 0, 1, 2, .., 8

Sum =?

The sum can be obtained as follow:

7•2ᶦ

i = 0

7•2⁰ = 7 × 1 = 7

i = 1

7•2ᶦ = 7•2¹ = 7 × 2 = 14

i = 2

7•2ᶦ = 7•2² = 7 × 4 = 28

i = 3

7•2ᶦ = 7•2³ = 7 × 8 = 56

i = 4

7•2ᶦ = 7•2⁴ = 7 × 16 = 112

i = 5

7•2ᶦ = 7•2⁵ = 7 × 32 = 224

i = 6

7•2ᶦ = 7•2⁶ = 7 × 64 = 448

i = 7

7•2ᶦ = 7•2⁷ = 7 × 126 = 896

i = 8

7•2ᶦ = 7•2⁸ = 7 × 256 = 1792

Sum = 7 + 14 + 28 + 56 + 112 + 224 + 448 + 896 + 1792

Sum = 3577

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