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Q.

Find the 20th term of an A.P. 1, 4, 7,…


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a

28

b

22

c

38

d

58 

answer is D.

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Detailed Solution

Given that, a sequence 1, 4, 7,…
We have to find the 20th term of an A.P.
From the given sequence,
The first term, a = 1
The common difference, d = 4 – 1
⇒ Common difference , d =3
And, n = 20.
If a is the first term, d is the common difference, then the nth term of an AP a n   is given by,
a n =a+(n−1)d  
Substitute the known values in the formula, we get,
⇒ a 20 =1+(20−1)3 ⇒ a 20 =1+19×3 ⇒ a 20 =58  
So, the 20th term of an AP is 58
Hence, option 4 is correct.
 
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