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

1.	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
Answer» Correct answer is (b) 2 T₈ = a + 7d = 17 .......(i) T₁₄ = a + 13d = 29 ........(ii) On subtracting (i) from (ii), we get: \(\Rightarrow\) 6d = 12 \(\Rightarrow\) d = 12 Hence, the common difference is 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

Answer»

Correct answer is (b) 2

T₈ = a + 7d = 17 .......(i)

T₁₄ = a + 13d = 29 ........(ii)

On subtracting (i) from (ii), we get:

\(\Rightarrow\) 6d = 12

\(\Rightarrow\) d = 12

Hence, the common difference is 2.