Question

If 2nd term of an AP is 13 and 5th is 25.What is 9th term?​

Answer 1

Answer:

Thus the answer is 33.

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Answer 2

a2=13 and a5=25

We know that

an=a+(n−1)d

∴a2=a+(2−1)d

⇒13=a+(2−1)d

⇒a+d=13  ...(i)

and a5=a+(5−1)d

⇒25=a+4d

⇒a+4d=25   

(ii)Now, subtracting

(i) from

(ii), we get

3d=12

⇒d=4

Now a+d=13      [from (i)]

⇒a=9

Hence, a7=a+6d=9+6(4)

⇒a7=33