Question

5. In an H.P., if 3rd term and 12th term are 12 and 3
respectively, then find the 15th term of the H.P.​

Answer 1

Answer:

a15=3/10

Step-by-step explanation:

Given a3= 12 a12=3

Find a15=?

Solution

a3=12

a+2d=12 ......(1 )

a=12-d ..........(2)

a12=3

a+11d=3 ......(3)

Put the value of ' a' from (2) in (3),we get

12-d+11d=3

10d=3-12

10d=-9

d= -9/10

Put the value of d in (2), we get

a=12-(-9/10)

a=12+9/10

a=129/10

:. a15=a+14d

=129/10 +14 (-9/10)

=129/10 - 126/10

= 3/10

I hope it helps you.

If you have any problem than tell me.