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Chapter 12: Q. 266 (page 1218)

Find the twenty-fifth term of a sequence where the first term is five and the common difference is three.

Short Answer

Expert verified

The twenty-fifth term of the series is77

Step by step solution

01

Step 1. Given information

The first term of the series is 5

The common difference is 3.

We have to find the25thterm of the series.

02

Step 2. Using formula to find the term.

The general term of the arithmetic series with the first term a1and common difference dis: localid="1645295885091" an=a1+(n-1)d

Put n=25a1=5d=3

03

Step 3. Put the values to find the term

Put the obtained value in the formula:

an=a1+(n-1)da25=5+(25-1)3a25=5+(24)3a25=5+72a25=77

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