Question

Which term of the A.P. 3, 10, 17, ... will be 84 more than its 13th term?

Answer 1

Answer:

25th term of the A.P  3, 10, 17, ... will be 84 more than its 13th term.

Step-by-step explanation:

Given :  

A.P. 3, 10, 17, …

first term , a = 3 , common difference , d = 10 - 3 = 7  

nth term = 84 + a13

a + (n -1)d = 84 + a13

[nth term = a + (n -1)d]

3 + (n - 1) 7 = 84 + a + (13 - 1) d

3 + 7n - 7 = 84 + 3 + 12 ×  7

-4 + 7n  = 84 + 3 + 84

-4 + 7n  = 87+ 84

-4 + 7n  = 171

7n = 171 + 4

7n = 175

n = 175/7

n = 25

Hence, 25th term of the A.P  3, 10, 17, ... will be 84 more than its 13th term.

HOPE THIS ANSWER WILL HELP YOU...

Answer 2

Answer:

it's 25th term is 84 more than its 13th term