I reached into my pocket and found that I have only dimes n nickels. I have 2.00. I have 11 coins. How many dimes do I have?
1 answer:
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Answer:
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.