The 2nd term of an AP is 13 and 5th term is 25. What is its 17 term?

1.	The 2nd term of an AP is 13 and 5th term is 25. What is its 17 term? (a) 69 (b) 73 (c) 77 (d) 81
Answer» Correct answer is (b) 73 T₂ = a + d = 13 .......(i) T₅ = a + 4d = 25 .......(ii) On subtracting (i) from (ii), we get: \(\Rightarrow\) 3d = 12 \(\Rightarrow\) d = 4 On putting the value of d in (i), we get: \(\Rightarrow\) a + 4 = 13 \(\Rightarrow\) a = 9 Now, T₁₇ = a + 16d = 9 + 16 x 4 = 73 Hence, the 17^th term is 73.

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

Answer»

Correct answer is (b) 73

T₂ = a + d = 13 .......(i)

T₅ = a + 4d = 25 .......(ii)

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

\(\Rightarrow\) 3d = 12

\(\Rightarrow\) d = 4

On putting the value of d in (i), we get:

\(\Rightarrow\) a + 4 = 13

\(\Rightarrow\) a = 9

Now, T₁₇ = a + 16d = 9 + 16 x 4 = 73

Hence, the 17^th term is 73.