Question

If the 2nd term of an A.P is
13, and the 5 th term is 25,
then the 7 th term is​

Answer 1

Answer:

33

Step-by-step explanation:

Given, a2 = 13 and a5 = 25

⇒ a + (2-1)d = 13 [∵ an = a + (n-1)d]

and a + (5-1)d = 25

⇒ a + d = 13 ...(i)

and a + 4d = 25 ...(ii)

On subtracting Eq.(i) from (ii), we get

3d = 25 - 13 = 12 ⇒ d = 4

From Eq.(i), a = 13 - 4 = 9

∴ a7 = a + (7-1)d = 9 + 6 × 4 = 33

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