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

Question

asked Jul 27, 2021 213k views

2 Answers

Erik Martino · Answer 1 · 2021-08-02T05:07:57+0000

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

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.