A pattern says: the cube of a number n equals the sum of n consecutive odd numbers. For example, 4^3 = 13 + 15 + 17 + 19 = 64. Using this idea, the first odd number in the group for 5^3 is which of these?

Question

Accepted Answer

21. For 5^3 = 125, the five consecutive odd numbers are 21 + 23 + 25 + 27 + 29 = 125. The first is 21.

A pattern says: the cube of a number n equals the sum of n consecutive odd numbers. For example, $4^{3} = 13 + 15 + 17 + 19 = 64$ .
Using this idea, the first odd number in the group for $5^{3}$ is which of these?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Perfect Cubes practice

A pattern says: the cube of a number n equals the sum of n consecutive odd numbers. For example, 43=13+15+17+19=64.Using this idea, the first odd number in the group for 53 is which of these?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Perfect Cubes practice

A pattern says: the cube of a number n equals the sum of n consecutive odd numbers. For example, $4^{3} = 13 + 15 + 17 + 19 = 64$ .
Using this idea, the first odd number in the group for $5^{3}$ is which of these?