Chapter 11: Q. 32 (page 586)

Find the indicated term of each arithmetic sequence.
$a_{1} = - 4, d = - 9, n = 20$

Short Answer

Expert verified

The indicated term of the arithmetic sequence is-175.

Step by step solution

Step 1. Given Information.

Given indicated term of arithmetic sequence is $a_{1} = - 4, d = - 9, n = 20$

Step 2. Calculation.

The n^th term of an arithmetic sequence is given by $a_{n} = a_{1} + (n - 1) d$ .

Here the first term is $a_{1} = - 4$

The common difference is $d = - 9$

And the required term is $n = 20$

Plugging the values in the formula:

$\begin{array}{l} a_{n} = a_{1} + (n - 1) d \\ a_{20} = - 4 + (20 - 1) (- 9) \\ a_{20} = - 4 + (19) (- 9) \\ a_{20} = - 4 - 171 \\ a_{20} = - 175 \end{array}$

Step 3. Conclusion.

Hence, the indicated term of the arithmetic sequence is -175.

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Find the indicated term of each arithmetic sequence.
$a_{1} = - 4, d = - 9, n = 20$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Find the indicated term of each arithmetic sequence.a1=−4,d=−9,n=20

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Applied Mathematics

Geometry

Probability and Statistics

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Find the indicated term of each arithmetic sequence.
$a_{1} = - 4, d = - 9, n = 20$