Ravi observes that 1 + 3 + 5 + ... (odd numbers) always gives a square. He adds odd numbers and stops at a total of 64.
How many odd numbers did he add?

Question

Ravi observes that 1 + 3 + 5 + ... (odd numbers) always gives a square. He adds odd numbers and stops at a total of 64. How many odd numbers did he add?

Accepted Answer

8. The sum of the first n odd numbers is n^2. Since 64 = 8^2, he added 8 odd numbers (1+3+5+7+9+11+13+15).

Ravi observes that 1 + 3 + 5 + ... (odd numbers) always gives a square. He adds odd numbers and stops at a total of 64.
How many odd numbers did he add?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 6 Patterns in Whole Numbers practice

Ravi observes that 1 + 3 + 5 + ... (odd numbers) always gives a square. He adds odd numbers and stops at a total of 64.How many odd numbers did he add?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 6 Patterns in Whole Numbers practice

Ravi observes that 1 + 3 + 5 + ... (odd numbers) always gives a square. He adds odd numbers and stops at a total of 64.
How many odd numbers did he add?