SOLUTION: Hello I had a question regarding arithmetic sequences. Here we have 1+3+5+...+915. How would I find the sum using a formula? Thank You all for your time to help and teach.

Question 694434: Hello I had a question regarding arithmetic sequences.
Here we have 1+3+5+...+915.
How would I find the sum using a formula?
Thank You all for your time to help and teach.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Hello I had a question regarding arithmetic sequences.
Here we have 1+3+5+...+915.
How would I find the sum using a formula?
Thank You all for your time to help and teach.

This problem can be solved by using the number of numbers formula: , first, to determine the number of numbers, or "n," with being the first term, and = 1, and being the last term, and = 915.

----- ----- -----

The formula for sum of an arithmetic sequence, or A.P. is: , with , 1st term, or = 1; n, or amount of terms to be summed = 458, and d, or common difference = 2

Therefore, becomes:

, or sum of the 458 terms in the series =

You can do the check!!

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