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
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
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The correct option is (b) 2.
Explanation:
T8 = a + 7d = 17 ...(i)
T14 = a + 13d = 29 ...(ii)
On subtracting (i) from (ii), we get:
⇒ 6d = 12
⇒ d = 12/6
⇒ d = 2
Hence, the common difference is 2.
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