Question

Find the common difference of the ap whose 10th term is 62 and 5th term is 2 plz anyone answer this I want to conform my answer

Answer 1

a10=62
a+9d=62

a5=2
a+4d=2

a+9d=62
a+4d=2
Eliminating,
-5d=-60
d=12

Answer 2

Hello friend!!
Rajdeep here.....

Let the first term be a and common difference be d.

10th term = 62
so a + 9d = 62.......(i)

Again, 5th term = 2
so a + 4d = 2........(ii)
or a = 2 - 4d......(iii)

Substituting (iii) on (i),
a + 9d = 62
=> 2 - 4d + 9d = 62
=> 2 + 5d = 62
=> 5d = 60
=> d = 60/5
=> d = 12

Thanks!!