Question

find the number of terms in each of the following APs : 100,96,88,...,16​

Answer 1

Answer:

n=22

Step-by-step explanation:

a=100, d=96-100=(-4), An=16

An=a+(n-1)d

16=100+(n-1)(-4)

16=100-4n+4

16=100+4-4n

16=104-4n

(-4n)=16-104

(-4n)=(-88)

4n=88

n=88/4

n=22

Therefore, there are 22 no. of terms.

Answer 2

Answer:

Step-by-step explanation:

100,96,88,--------,16

100-96=4

96-88=8

we get nth term here

Tn=100-(n-1)*4=16

100-4n+4=16

4n=104-16

4n=88

n=88/4=22