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anonymous

  • 4 years ago

What is the sum of the arithmetic sequence 8, 15, 22 …, if there are 26 terms?

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  1. anonymous
    • 4 years ago
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    183

  2. anonymous
    • 4 years ago
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    First, we find the common difference: 15 - 8 = 7 22 - 15 = 7 so the difference is 7 (d = 7) We can plug this into the general equation for arithmetic sequence x = a + d(n - 1) where x is the value we're looking for, a is the first term, d is the difference, and n is the number term were looking for. With this, the equation is x = 8 + 7(n-1), so the 26th term will be: x = 8 + 7(26 - 1) x = 8 + 7(25) x = 183 Sum of an arithmetic series is the average of the first and last values times the number of terms: average = (183 + 8) / 2 = 195.5 sum = 195.5 * 26 = 5083

  3. anonymous
    • 4 years ago
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    I suck at explaining but yeah... :P

  4. anonymous
    • 4 years ago
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    xD Good effort.

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