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

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Question

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

Options
  • 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.

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 (Latest))
Chapter 5: Arithmetic Progressions
Ex. 5.2 | Q: 2.1 | Page no. 106
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Solution Choose the correct choice in the following and justify 30th term of the AP: 10, 7, 4, . . . , is Concept: nth Term of an AP.
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