Question

how many terms are there in the Ap 6,10,14,18....,174?

Answer 1

a=6
d =10-6
=4
an=174
n=?
an=a+(n-1)d
174=6+(n-1)4
174=6+4n-4
174=2+4n
174-2=4n
172=4n
43=n
43terms are there in AP

Answer 2

Answer:

There are 43 terms in the A.P.

Step-by-step explanation:

Given : 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 $a_n=174$

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

Substitute the values in the formula,

$174=6+(n-1)4$

$174=6+4n-4$

$174=2+4n$

$172=4n$

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

$n=43$

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