To find the sum of an arithmetic sequence, you can use the formula:
Where:
- is the sum of the first terms.
- is the number of terms.
- is the first term in the sequence.
- is the common difference between terms.
In your case, you have an arithmetic sequence: 8, 15, 22, ... with a first term () of 8 and a common difference () of 7 (the difference between consecutive terms). You want to find the sum () of this sequence with 26 terms ().
Now, let's plug these values into the formula:
Let's break down the calculation step by step:
Calculate :Calculate :
Calculate :
Calculate :
Calculate :
Finally, calculate by multiplying with :
Now, calculate :
So, the sum of the arithmetic sequence 8, 15, 22, ... with 26 terms is 2483.
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