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Which Term of Term of the Ap 3,8,13,18,….. is 88?

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Question

Which term of term of the AP 3,8,13,18,….. is 88?

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Solution

In the given AP, first term, a = 3 and common difference, a = (8-3)= 5.

Let’s its nth  term be 88

Then, Tn = 88

⇒ a + (n-1) d = 88 

⇒ 3+ (n-1) × 5 = 88

⇒ 5n - 2 = 88

⇒ 5n = 90

⇒ n = 18

Hence, the 18th  term of the given AP is 88.

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Chapter 5: Arithmetic Progression - Exercises 1

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 5 Arithmetic Progression
Exercises 1 | Q 10
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