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Question ❓

Which term of the A.P 3 , 10 , 17 , ...... will be 84 more than its thirteenth term ? What is the 30 th term of the A.P ?

By Choudhary21 ❤️​

Answer 1

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Answer 2

Step-by-step explanation:

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GIVEN :

AP = 3, 10, 17......

First term of AP = a = 3

Common Difference = a2 - a1 = 10 - 3 = 7

Thirteenth term = a + 12d

= (3) + 12(7)

= 3 + 84

= 87

Add 84 to the thirteenth term.

= 87 + 84

= 171

In an AP nth term = a + (n - 1)d

an = a + (n - 1)d

171 = 3 + (n - 1)7

171 = 3 + 7n - 7

171 = 7n - 4

7n = 171 + 4

7n = 175

n = 175/7

n = 25

Therefore, 25th term will be 84 more than its 13th term.

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