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

MCQ
Sum

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

• 97

•  77

• –77

• – 87

#### Solution

Given that

A.P. 10, 7, 4, …

First term, a = 10

Common difference, d = a2 − a= 7 − 10

= −3

We know that, an = a + (n − 1) d

a30 = 10 + (30 − 1) (−3)

a30 = 10 + (29) (−3)

a30 = 10 − 87 = −77

Hence, the correct answer is –77.

Concept: nth Term of an AP
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Chapter 5: Arithmetic Progressions - Exercise 5.2 [Page 106]

#### APPEARS IN

NCERT Class 10 Maths
Chapter 5 Arithmetic Progressions
Exercise 5.2 | Q 2.1 | Page 106
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