Chapter 12: Q 72. (page 809)

In Problems 71-82, find the sum of each sequence.
$\sum_{k = 1}^{40} 8$

Short Answer

Expert verified

The sum of this sequence is 400.

Step by step solution

Step 1. Write the given information.

The sum of sequence:

$\sum_{k = 1}^{50} 8; k = 1, . . ., 50$

Step 2. Use the formula for sum of sequence.

The formula for summation is:

${\sum c}_{k = 1}^{n} = c + c + . . . + c \Rightarrow {\sum c}_{k = 1}^{n} = c n, c - r e a l n u m b e r$

Step 3. Use the formula with c=8 and n=50.

Using the formula gives:

${\sum 8}_{k = 1}^{50} = 8 + 8 + . . . + 8 \Rightarrow {\sum 8}_{k = 1}^{50} = 50 \times 8 \Rightarrow {\sum 8}_{k = 1}^{50} = 400$

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In Problems 71-82, find the sum of each sequence.
$\sum_{k = 1}^{40} 8$

Short Answer

Step by step solution

Step 1. Write the given information.

Step 2. Use the formula for sum of sequence.

Step 3. Use the formula with c=8 and n=50.

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In Problems 71-82, find the sum of each sequence.∑k=1408

Short Answer

Step by step solution

Step 1. Write the given information.

Step 2. Use the formula for sum of sequence.

Step 3. Use the formula with c=8 and n=50.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Mechanics Maths

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Probability and Statistics

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Study anywhere. Anytime. Across all devices.

In Problems 71-82, find the sum of each sequence.
$\sum_{k = 1}^{40} 8$