Question

the 7th term of an A.P is 32 and it's 13th term is 62 find the 10th term of that A. P​

Answer 1

Answer:#answerwithquality#BAL

Step-by-step explanation:

Answer 2

Answer:

Let term 1 be a

Common difference be d

A. T. Q. =

7th term =a ➕ 6d = 32 ..... 1

13th term =a ➕ 12d = 62 ...... 2

Using equation 1 and 2

(a ➕ 6d =32) ➕ (a ➕ 12d =62)

= d = 30 ÷ 5

= d = 6

Now,

a ➕ 6d = term 7

= a ➕ (6 • 5) = 32

=a = 32 ➖ 30

= a = 2

Now,

term 10 = a ➕ 9d

= 2 ➕ ( 9 • 5)

= 2 ➕ 45

= 47

Hence, the 10th term of the AP is 47.