The 2nd term of an AP is 13 and its 5th term is 25.

Question:

The 2nd term of an AP is 13 and its 5th term is 25. What is its 17th term.
(a) 69
(b) 73
(c) 77
(d) 81

 

Solution:

(b) 73

T2 = a + d  = 13              ...(i) 
T5 = a + 4d  = 25            ...(ii)
On subtracting (i) from (ii), we get:
⇒ 3d = 12
⇒ d = 4
On putting the value of d in (i), we get:
⇒ a + 4= 13
⇒ a = 9

Now, T17 = a +16d = 9 + 16 ⨯ 4 = 73
Hence, the 17th term is 73.

 

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