asked 35.0k views
3 votes
The sequence -5,0,5,10,dots, 65 has 15 terms. Evaluate the related series.

1 Answer

4 votes

We are given that the sequence is an arithmetic sequence, with a common difference of 5 (each term increases by 5 more than the previous). The first term is -5 and the last term is 65. Importantly, there are 15 terms in total in this sequence.

To evaluate the sum of the terms in this arithmetic series, we can use the formula for the sum of an arithmetic series, which is: sum = n/2 * (a1 + an)

In this formula, 'n' refers to the number of terms in the series, while 'a1' and 'an' denote the first and last term of the sequence respectively.

Here, the number of terms 'n' is 15. The first term 'a1' is -5, while the last term 'an' is 65. Plugging these values into the formula gives us: sum = 15/2 * (-5 + 65)

Solving this results in a sum of 450.0 for the arithmetic series. Thus, the sum of all the terms in the provided arithmetic sequence is 450.0.

answered
User OzzyCzech
by
8.7k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.