You visited us 1 times! Enjoying our articles? Unlock Full Access!

Formula for Sum of n Terms of an AP

The second te...

Question

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

Open in App

Solution

( a) 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 17^th term is 73.

Suggest Corrections

Similar questions

7^{t h}

32

13^{t h}

62

5

2^{n d}

13

5^{t h}

25,

7^{t h}

If the 10th term of an AP is 52 and 17th term is 20 more than its 13th term, find the AP.

4^{t h}

10^{t h}

13

25

17^{t h}

2^{n d}

5^{t h}

7^{t h}

Join BYJU'S Learning Program