Question

9. Fow many terms are there in the A.P. 6, 10, 14, 18,..
174​

Answer 1

Explanation:

A.P 6,10,14,18....,174

To find : How many terms in an AP?

Solution :

A.P 6,10,14,18....,174

Where, first term a=6

Common difference is d=10-6=4

Last term is a_n=174a

n

=174

The formula of nth term is a_n=a+(n-1)da

n

=a+(n−1)d

Substitute the values in the formula,

174=6+(n-1)4174=6+(n−1)4

174=6+4n-4174=6+4n−4

174=2+4n174=2+4n

172=4n172=4n

n=\frac{172}{4}n=

4

172

n=43n=43

Therefore, There are 43 terms in the A.P.

Answer 2

Answer:

A.P 6,10,14,18,…174 and 13 terms