# The 8th term of an AP is 17 and its 14th term is 29.

Question:

The 8th term of an AP is 17 and its 14th term is 29. The common difference of the AP is
(a) 3
(b) 2
(c) 5
(d) −2

Solution:

( b) 2
T8 = a + 7d = 17     ...(i)
T14 = a + 13d = 29    ...(ii)

On subtracting (i) from (ii), we get:
⇒ 6d = 12
⇒ d = 2
Hence, the common difference is 2.

P.raju
April 19, 2024, 2:29 p.m.
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