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Sum of First n Natural Numbers

What is the f...

Question

What is the function for the arithmetic sequence $3, 4, 5, 6, 7... ?$

n + 2

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n - 1

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2 n + 1

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2 n - 1

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Solution

The correct option is A $n + 2$
Clearly, the difference of successive terms of above sequence is constant which is 1
So given sequence is in AP with first term 3 and common difference $1$
Hence general term is, $a_{n} = a + (n - 1) d = 3 + (n - 1) 1 = n + 2$
Hence option 'A' is correct choice

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(\forall n \in N)

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a, a_{1}, a_{2}, . . . . ., a_{2 n}, b

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