Chapter 12: Q 119. (page 1185)

In the following exercises, find each sum.
$\sum_{i = 1}^{50} (3 i + 6)$

Short Answer

Expert verified

The obtained sum is 4125.

Step by step solution

Step 1. Given Information.

Consider the given sum:

$\sum_{i = 1}^{50} (3 i + 6)$

simplify the sum.

Express the sum and identify the values.

$\begin{array}{rcl} \sum_{i = 1}^{50} (3 i + 6) & = & (3 (1) + 6) + (3 (2) + 6) + (3 (3) + 6) + \dots + (3 (50) + 6) \\ = & 9 + 12 + 15 + \dots + 156 \\ = & a_{1} + a_{2} + a_{3} + \dots + a_{50} \end{array}$

Step 3. Find the sum.

Substitute the values in some formula $S_{n} = \frac{n}{2} (a_{1} + a_{n})$ .

$\begin{array}{rcl} S_{50} & = & \frac{50}{2} (9 + 156) \\ = & 25 (165) \\ = & 4125 \end{array}$

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In the following exercises, find each sum.
$\sum_{i = 1}^{50} (3 i + 6)$

Short Answer

Step by step solution

Step 1. Given Information.

simplify the sum.

Step 3. Find the sum.

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In the following exercises, find each sum.∑i=1503i+6

Short Answer

Step by step solution

Step 1. Given Information.

simplify the sum.

Step 3. Find the sum.

One App. One Place for Learning.

Most popular questions from this chapter

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In the following exercises, find each sum.
$\sum_{i = 1}^{50} (3 i + 6)$