the arithmetic sequence ai is defined by the formula: a1 = -53 ai = ai-1 + 6 find the sum of the first 880 terms in the sequence

The sum of the first 880 terms in the sequence is 2,273,920.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, called common difference, and the nth term is given by:

In which d is the common difference.

Sum of the first n terms:

The sum of the first n terms of an arithmetic sequence is given by:

ai = ai-1 + 6

This means that

In this question:

Sum of the first 800 terms, so

First term is -53, so

The 880th term is:

Sum

The sum of the first 880 terms in the sequence is 2,273,920.

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