Chapter 11: Q9. (page 581)

Find the indicated term of each arithmetic sequence.
$a_{1} = 3, d = - 5, n = 24$

Short Answer

Expert verified

The indicated term of the arithmetic sequence is94.

Step by step solution

Step 1. Given Information.

Given indicated term of arithmetic sequence is $a_{1} = 3, d = 7, n = 14$

Step 2. Calculation.

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

Here the first term is $a_{1} = 3$

The common difference is $d = 7$

And the required term is $n = 14$

Plugging the values in the formula:

$\begin{array}{l} a_{n} = a_{1} + (n - 1) d \\ a_{14} = 3 + (14 - 1) (7) \\ a_{14} = 3 + (13) (7) \\ a_{14} = 3 + 91 \\ a_{14} = 94 \end{array}$

Step 3. Conclusion.

Hence, the indicated term of the arithmetic sequence is 94.

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Find the indicated term of each arithmetic sequence.
$a_{1} = 3, d = - 5, n = 24$

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=3,d=−5,n=24

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

Statistics

Theoretical and Mathematical Physics

Logic and Functions

Probability and Statistics

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Find the indicated term of each arithmetic sequence.
$a_{1} = 3, d = - 5, n = 24$