Question

What is the sum of the first 30 odd numbers?

Answer 1

886 is the sum of first 30 odd no.s

Answer 2

HELLO DEAR FRND

   HOPE THIS WILL HELP U

Let’s try to SOLVE IT together.

FIRST OBSERVE THE PATTEREN

• 1 = 1
• 1+3 = 4
• 1+3+5 = 9
• 1+3+5+7 = 16
• 1+3+5+7+9 = 25

WE CAN SEE FROM ABOVE

If n = number of first odd numbers:

•    n=1, sum = 1
•    n=2, sum = 4
•    n=3, sum = 9
•    n=4, sum = 16
•    n=5, sum = 25

Hmmm…I see a pattern, do you?

• n=1, sum = 1, which is 1²
• n=2, sum = 4, which is 2²
• n=3, sum = 9, which is 3²
• n=4, sum = 16, which is 4²
• n=5, sum = 25, which is 5²

Based on our observation, the summation of the n first odd numbers is equal to n².

So, to directly answer the question, we substitute 30 for n.

30²=900

∴Sum of the first 30 odd numbers=900