MCQ

Sum

Choose the correct choice in the following and justify 30th term of the AP: 10, 7, 4, . . . , is

#### Options

97

77

–77

– 87

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#### Solution

Given that

A.P. 10, 7, 4, …

First term, *a* = 10

Common difference, *d* = *a*_{2} − *a*_{1 }= 7 − 10

= −3

We know that, *a*_{n} = *a* + (*n* − 1) *d*

*a*_{30} = 10 + (30 − 1) (−3)

*a*_{30} = 10 + (29) (−3)

*a*_{30} = 10 − 87 = −77

Hence, the correct answer is** –77**.

Concept: nth Term of an AP

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