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Chapter 14: Q. C (page 903)

$\sum_{k = 1}^{4} (2 k + 1) =$ .

Short Answer

Expert verified

$\sum_{k = 1}^{4} (2 k + 1) = 24$ .

Step by step solution

01

Step 1. Given information

The given expression is

$\sum_{k = 1}^{4} (2 k + 1)$

02

Step 2. Value of expression

Evaluate the expression

$\sum_{k = 1}^{4} (2 k + 1) = \sum_{k = 1}^{4} 2 k + \sum_{k = 1}^{4} 1 = 2 \sum_{k = 1}^{4} k + \sum_{k = 1}^{4} 1 = 2 [\frac{4 (4 + 1)}{2}] + 1 (4) = 4 (5) + 4 = 20 + 4 = 24$

So the value of $\sum_{k = 1}^{4} (2 k + 1)$ is $24$ .

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