Question

25th term of an ap in 140 and 27 term is 166 . what is the common difference? what is its 35 th term?

Answer 1

25th term = a + 24d = 140 _ (1)
27th term = a + 26d = 166 _ (2)

Subtracting (2) from (1)
a + 24d = 140
a + 26d = 166
- - -
__________
0 - 2d = - 26
2d = 26
(d = 13)

Common difference is 13.
And 1st term (a) = -172

35th term = a + 34d
a + 34d = -172 + 34*13
-172 + 442 = 270

35th term = 270

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