How many terms are there in the AP 6, 10, 14, 18,…,174?
Question:

How many terms are there in the AP 6, 10, 14, 18,…,174?

Solution:

In the given AP, a  = 6 and d = (10 – 6) = 4
Suppose that there are n terms in the given AP.
Then Tn = 174
⇒ a + (n – 1)d = 174
⇒ 6 + (– 1) ⨯ 4 = 174
⇒ 2 + 4n = 174
⇒ 4n = 172
⇒ n = 43
Hence, there are 43 terms in the given AP.

 

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