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Q.

The nth term of a sequence is 2n + 1, then the first term and common difference respectively are


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a

3,2

b

2,3

c

1,2

d

2,1 

answer is A.

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Detailed Solution

Given that the nth term of a sequence is 2n + 1.
We know,
The common difference can be calculated by using the formula d= a n − a n−1  
Substitute 1 for n in the equation 2n+1,we get 1st term,
2 1 +1 ⇒2+1 ⇒3  
Substitute 2 for n in the equation 2n+1,we get 2nd term,
2 2 +1 ⇒4+1 ⇒5  
The common difference will be,
d=5−3 ⇒d=2  
First-term is 3 and the common difference is 2.
Therefore, option 1 is correct.
 
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