Question

What is the sum of three consecutive odd numbers?

Answer 1

Step-by-step explanation:

The sum of any set of consecutive odd numbers starting with 1 is always equal to the square of the number of digits that were added together. Sum of first two odd numbers = 1 + 3 = 4 (= 2 x 2). Sum of first three odd numbers = 1 + 3 + 5 = 9 (= 3 x 3). Sum of first four odd numbers = 1 + 3 + 5 + 7 = 16 (= 4 x 4).

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Answer 2

Answer:

If u need an algebric equation for the following-

Let the first odd number be x

So if we see the number system we know that odd numbers always come after an even number.

Example- 1(odd), 2(even), 3(odd)...so on

So to get to the next odd number we have to add two to x

So the next odd number is x+2

Similarly the odd number after that is x+4

So sum of three consecutive odd numbers would be= x+(x+2)+(x+4)

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