How to Add a Sequence of Consecutive Odd Numbers

To add a sequence of consecutive odd numbers, you can use the formula:

Sum = n^2

where "n" is the number of terms in the sequence.

For example, let's say you want to add the first 5 consecutive odd numbers, starting from 1.

The first 5 consecutive odd numbers are: 1, 3, 5, 7, 9

To find the sum of these numbers, we can use the formula above:

n = 5 Sum = 5^2 = 25

Therefore, the sum of the first 5 consecutive odd numbers is 25.

Another way to add a sequence of consecutive odd numbers is to use the formula:

Sum = n*(2a + (n-1)d)/2

where "a" is the first term in the sequence, "d" is the common difference between consecutive terms (which is 2 for odd numbers), and "n" is the number of terms in the sequence.

For example, if you want to add the first 7 consecutive odd numbers, starting from 3:

The first 7 consecutive odd numbers are: 3, 5, 7, 9, 11, 13, 15

a = 3 d = 2 n = 7

Sum = 7*(2*3 + (7-1)*2)/2 = 7*(6+12)/2 = 7*18/2 = 63

Therefore, the sum of the first 7 consecutive odd numbers starting from 3 is 63.