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Chapter 12: Q. 267 (page 1218)

Find the thirtieth term of a sequence where the first term is 16 and the common difference is -5.

Short Answer

Expert verified

The thirtieth term of a sequence is-44

Step by step solution

01

Step 1. Given information

The first term of the series is 16

The common difference is -5

We have to find the13thterm 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: role="math" localid="1645296479868" an=a1+(n-1)d

We have,n=13a1=16d=-5

03

Step 3. Put the values to find the term

Put the obtained value in the formula:

an=a1+(n-1)da13=16+(13-1)(-5)a13=16+(12)(-5)a13=16-60a13=-44

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