Question

2. Determine an A.P whose third is 9 and when 5th term is subtracted from 8th term we get 6​

Answer 1

Answer:

5,7,9

Step-by-step explanation:

third term= a+(n-1)d=9

or, a+2d=9

hence, a= 9-2d.

now,

8th term - 5th term = 6 (given)

or, a+7d - a+4d =6

now place value of a as 9 - 2d.

hence we get,

9-2d + 7d - {(9-2d)+4d}=6

or, 9+5d -9-2d=6

or, d=2

now,

third term= a +2d=9(place value of d as 2)

or, a=5.