Question

Write these series with summation notation. 1,4,9,16...

Answer 1

Answer:  $\sum\limits_{i=1}^{n} n^2$ , where n is a natural number.

Step-by-step explanation:

A series can be represented in a summation or sigma notation.

Greek capital letter, ∑ (sigma), is used to represent the sum.

For example: $\sum\limits_{n=1}^{\infty} n=1+2+3+4+5+...$, where n is a natural number.

The given series : 1,4,9,16 which can be written as $1^2, 2^2, 3^2,...$ .

So , we can write it as

$\sum\limits_{n=1}^{\infty} n^2$ , where n is a natural number.