Q62 of 142 Page 88

State whether the statements are true (T) or false (F).
The sum of first n odd natural numbers is n².

Given: first n odd natural numbers

Odd natural number will be = 2n-1

As we know, sum of odd natural numbers =

= n² + n-n

= n²

Hence, the given statement is true.

State whether the statements are true (T) or false (F).

There are five perfect cubes between 1 and 100.

State whether the statements are true (T) or false (F).

There are 200 natural numbers between 100² and 101².

State whether the statements are true (T) or false (F).

1000 is a perfect square.

State whether the statements are true (T) or false (F).

A perfect square can have 8 as its units digit.

State whether the statements are true (T) or false (F).The sum of first n odd natural numbers is n2.