Complete the following table: Sum of first 2 odd numbers 1 + 3 = 4 2 2 Sum of first 3 odd numbers 1 + 3 + 5 = 9 3 2 Sum of first 4 odd numbers 1 + 3 + 5 + 7 = 16 4 2 Sum of first 5 odd numbers Sum of first 6 odd numbers Sum of first 7 odd numbers

Observe from the table, the given pattern can be written as below. Sum of first 2 odd numbers is 1 + 3 = 4 Sum of first 3 odd numbers is 1 + 3 + 5 = 9 Sum of first 4 odd numbers is 1 + 3 + 5 + 7 = 16 Sum of first 5 odd numbers is 1 + 3 + 5 + 7 + 9 = 25 Sum of first 6 odd numbers is 1 + 3 + 5 + 7 + 9 + 11 = 36 Sum of first 7 odd numbers is 1 + 3 + 5 + 7 + 9 + 11 + 13 = 49 The odd numbers sequence are 1 , 3 , 5 , 7 , 9 , 11 , . . . . . . . 25 is a square number of 5 that is 5 2 36 is a square number of 6 that is 6 2 49 is a square number of 7 that is 7 2 Therefore, the complete given table pattern as below. Sum of first 2 odd numbers 1 + 3 = 4 2 2 Sum of first 3 odd numbers 1 + 3 + 5 = 9 3 2 Sum of first 4 odd numbers 1 + 3 + 5 + 7 = 16 4 2 Sum of first 5 odd numbers 1 + 3 + 5 + 7 + 9 = 25 5 2 Sum of first 6 odd numbers 1 + 3 + 5 + 7 + 9 + 11 = 36 6 2 Sum of first 7 odd numbers 1 + 3 + 5 + 7 + 9 + 11 + 13 = 49 7 2

E M B I B E

Mental Maths 5>Chapter 16 - Patterns>Exercise-2>Q 1

HARD

5th CBSE

IMPORTANT

Earn 100

Express the square number as the sum of odd numbers :

$121 =$

Important Questions on Patterns

HARD

5th CBSE

IMPORTANT

Mental Maths 5>Chapter 16 - Patterns>Exercise-2>Q 2

Complete the following table:

Sum of first $2$ odd numbers	$1 + 3 = 4$	$2^{2}$
Sum of first $3$ odd numbers	$1 + 3 + 5 = 9$	$3^{2}$
Sum of first $4$ odd numbers	$1 + 3 + 5 + 7 = 16$	$4^{2}$
Sum of first $5$ odd numbers
Sum of first $6$ odd numbers
Sum of first $7$ odd numbers