Question

if sn= n² then an = ? please answer​

Answer 1

Answer: $a_{n}$ = $2n-1$ for n ∈ N where $a_n$ represents the n th term of the sequence

Given: It is given that $S_{n}$ = $n^{2}$ where $S_n$ is the sum of first n terms of a series where n is a natural number.

To Find: We have to find $a_n$ where $a_n$ represents the n th term of the sequence.

Step-by-Step Explanation:

We know that the formula for calculating the sum of first n odd natural numbers is $n^{2}$. Therefore, we can infer that the given sequence is the sequence of first n odd natural numbers.

We represent n th term of odd natural number sequence by $2n-1$, therefore $a_n=2n-1$

For example, the sum of first 4 odd natural numbers = $4^{2}=16$

and the 4th odd natural number is = $2\times 4-1=7$

To know more about Sequence and Series, refer to the links below:

https://brainly.in/question/15381104

https://brainly.in/question/24506612

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