Question

find the number of terms in an
AP
100, 96 ,92, _ _ _ _ _ 12​

Answer 1

Answer:

We know that the formula for the nth term is t

n

=a+(n−1)d, where a is the first term, d is the common difference.

It is given that the nth term is t

n

=12, the first term is a=100 and the difference d=96−100=−4, therefore,

t

n

=a+(n−1)d

⇒12=100+(n−1)(−4)

⇒12=100−4n+4

⇒12=104−4n

⇒−4n=12−104

⇒−4n=−92

⇒n=

4

92

=23

Hence, the number of terms are 23.

Step-by-step explanation:

please mark as brilliant

Answer 2

Step-by-step explanation:

please mark as brainliest