Question

how many terms are there in AP 6,10,14,18,...,174

Answer 1

Tn = a+(n-1)d
a=6, d=4, Tn=174, n=?
174=6+(n-1)4
174-6=(n-1)4
168=(n-1)4
(n-1)=168/4
n-1=43
n=43
terms=43

Answer 2

Here, a = 6 and d = 4
Also, last term = 174
174 = 6 + (n-1)4
168 = (n-1)4
42 = n - 1
n = 43

Therefore, there are 43 terms in total