Question

The 10th term of an AP is (-4) and 22nd term is(-16). Find the nth term of this AP

Answer 1

Answer:

ATQ

a10 = -4 = a +9d ......(1)

a22 = -16 = a + 21d ....(2)

subtract ...(2) from ...(1)

we get

-12 = 12d

d = -1

put this in any of the equation

we get a = 5

anth = a +(n-1)d

put this values

anth = 5 +(n-1)(-1)

anth = 5 -n + 1

anth = 6-n

hope this will help you

Answer 2

Answer:

nth term=6-n

Step-by-step explanation:

10th term=a+9d=-4

22nd term=a+21d=-16

Solving above two,

we get

d=-1

Putting value of d in any one equation, we get

a=5

So, nth term=5+(n-1)x(-1)=5+1-n =6-n