Rani writes the pattern of square numbers 1, 4, 9, 16, 25, 36 on the board. She notices the differences between consecutive squares are 3, 5, 7, 9, 11. What will be the difference between the 7th and 8th square numbers?

Question

Accepted Answer

15. The difference between n^2 and (n+1)^2 is 2n+1. From the 7th (49) to the 8th (64): 64 - 49 = 15.

Rani writes the pattern of square numbers 1, 4, 9, 16, 25, 36 on the board.
She notices the differences between consecutive squares are 3, 5, 7, 9, 11.
What will be the difference between the 7th and 8th square numbers?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Patterns in Numbers practice

Rani writes the pattern of square numbers 1, 4, 9, 16, 25, 36 on the board.She notices the differences between consecutive squares are 3, 5, 7, 9, 11.What will be the difference between the 7th and 8th square numbers?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Patterns in Numbers practice

Rani writes the pattern of square numbers 1, 4, 9, 16, 25, 36 on the board.
She notices the differences between consecutive squares are 3, 5, 7, 9, 11.
What will be the difference between the 7th and 8th square numbers?