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Expansion of series: _{n=0}^4 2n

Question

Expansion of series: $n = 0 \sum 4 2 n$

0 + 2 + 4 + 8 + 16

0 + 2 + 4 + 6 + 8

2 + 4 + 6 + 8 + 10

None of the above

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Expansion of series:

n = 0 \sum 4 2 n

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Text solutionVerified

Given:

n = 0 \sum 4 2 n

At n=0:

2 n = 2 \times 0 = 0

At n=1:

2 n = 2 \times 1 = 2

At n=2:

2 n = 2 \times 2 = 4

At n=3:

2 n = 2 \times 3 = 6

At n=4:

2 n = 2 \times 4 = 8

∴ 0 + 2 + 4 + 6 + 8

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