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Chapter 11: Q46. (page 582)

Write an equation for the nth term of each arithmetic sequence.

7, 16, 25, 34, ....

Short Answer

Expert verified

An equation for the nth term of the arithmetic sequence is an=9n鈭�2 .

Step by step solution

01

Step 1. Given Information.

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

02

Step 2. Calculation.

The nth term of an arithmetic sequence is given by an=a1+(n鈭�1)d.

Here the first term is a1=7

The difference between the first two terms is 16鈭�7=9

The difference between the next two terms is 25鈭�16=9

Hence, the common difference is d=9

Plugging the values in the formula:

an=a1+(n鈭�1)dan=7+(n鈭�1)(9)an=7+9n鈭�9an=9n鈭�2

03

Step 3. Conclusion.

Hence, an equation for the nth term of the arithmetic sequence is an=9n鈭�2.

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