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Question

Find the first term and common difference in the A.P. $$1 + 2 + 3 + 4 +$$ ........


A
First term =1; Common difference =0
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B
First term =1; Common difference =1
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C
First term =2; Common difference =1
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D
First term =1; Common difference =2
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Solution

The correct option is B First term $$= 1$$; Common difference $$= 1$$
Given series is $$1 + 2 + 3 + 4 +$$ ......
Here the first term is $$1$$.
We know common difference $$= a_2 - a_1 $$
Here $$a_1=1, a_2=2a_3=3,a_4=4$$
Thus common difference $$= 2 - 1 =3-2= 1$$

Mathematics

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