Question

Express 4 cube as sum of 4 consecutive odd
natural numbers.​

Answer 1

Given :  sum of 4 consecutive odd  natural numbers.​  is  4 cube

To find : Numbers

Solution:

Let say 4 consecutive odd numbers  are

2n - 3  , 2n - 1  , 2n + 1  , 2n + 3

Sum of 4 consecutive odd numbers  = 2n - 3 + 2n - 1 + 2n + 1 + 2n + 3

= 8n

4 cube = 4³  =  64

8n = 64

=> n  = 8

2n - 3  , 2n - 1  , 2n + 1  , 2n + 3

13 , 15 , 17 , 19

13 , 15 , 17 , 19  are 4 consecutive odd  natural numbers  whose sum is 64

4³  =   13 + 15 + 17 + 19

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Answer 2

Answer:

13 , 15 , 17 , 19  are 4 consecutive odd  natural numbers  whose sum is 64

4³  =   13 + 15 + 17 + 19

Step-by-step explanation: