Question:
The first term of an A.P. is 5, the common difference is 3 and the last term is 80;
Solution:
In the given problem, we are given an A.P whose,
First term (a) = 5
Last term $\left(a_{e}\right)=80$
Common difference (d) = 3
We need to find the number of terms present in it (n)
So here we will find the value of $n$ using the formula, $a_{n}=a+(n-1) d$
So, substituting the values in the above mentioned formula
$80=5+(n-1) 3$
$80-5=3 n-3$
$75+3=3 n$
$n=\frac{78}{3}$
$n=26$
Thus, $n=26$
Therefore, the number of terms present in the given A.P is 26