Question

Express the following sum in closed form. sum_{k=1}^{n} (2+2 cdot frac{k}{n})^2 = Hint: Start by multiplying out (2+2 cdot frac{k}{n})^2. Note: Your answer should be in terms of n.

          Express the following sum in closed form.
sum_{k=1}^{n} (2+2 cdot frac{k}{n})^2 =
Hint: Start by multiplying out (2+2 cdot frac{k}{n})^2.
Note: Your answer should be in terms of n.

$Express the following sum in closed form. sumk=1^n (2+2 cdot frackn)^2 = Hint: Start by multiplying out (2+2 cdot frackn)^2. Note: Your answer should be in terms of n.$

Added by Tom-S W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert David Nguyen

10/02/2021

Step 1

Step 1: Rewrite the given sum as a series and expand it: $2 + 2 \cdot k = 2 + 2 \cdot 1 + 2 + 2 \cdot 2 + 2 + 2 \cdot 3 + \ldots$ $= 2 + 4 + 2 + 4 + 2 + 6 + \ldots$ Show more…

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