Question

If the 8th term of an ap is 31 and 5th term 16 more 11th term.
find the AP.

Answer 1

Answer:

nth term of AP is

a+(n-1)d

a=first term

d= common difference

given

31= a+(8–1)d

and

16=a+(15–1)d

31= a+7d

and

16=a+14d

solving these two simeltenious equations

multiple first equation by 2

62=2a+14d

deduct second equation from this

46=a

substitute it in equation 1

16=46+14d

16–46=14d

-30=14d

d=(-30/14

d=-2.1429

a= 46

2nd term= 46×-2.1429

3rd term= 46+(3–1)×-2.1429

Step-by-step explanation: