Chapter 11: Q46. (page 582)

Write an equation for the n^th term of each arithmetic sequence.
7, 16, 25, 34, ....

Short Answer

Expert verified

An equation for the n^th term of the arithmetic sequence is $a_{n} = 9 n - 2$ .

Step by step solution

Step 1. Given Information.

Given arithmetic sequence is 7, 16, 25, 34, ....

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 $a_{1} = 7$

The difference between the first two terms is $16 - 7 = 9$

The difference between the next two terms is $25 - 16 = 9$

Hence, the common difference is $d = 9$

Plugging the values in the formula:

$\begin{array}{l} a_{n} = a_{1} + (n - 1) d \\ a_{n} = 7 + (n - 1) (9) \\ a_{n} = 7 + 9 n - 9 \\ a_{n} = 9 n - 2 \end{array}$

Step 3. Conclusion.

Hence, an equation for the n^th term of the arithmetic sequence is $a_{n} = 9 n - 2$ .

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Write an equation for the n^th term of each arithmetic sequence.
7, 16, 25, 34, ....

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Write an equation for the nth term of each arithmetic sequence.7, 16, 25, 34, ....

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

Applied Mathematics

Discrete Mathematics

Decision Maths

Pure Maths

Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

Write an equation for the n^th term of each arithmetic sequence.
7, 16, 25, 34, ....