trelltrell111 trelltrell111
  • 12-05-2017
  • Mathematics
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What is the sum of the arithmetic sequence 3, 9, 15..., if there are 36 terms?

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zebsi0n
zebsi0n zebsi0n
  • 12-05-2017
The common difference is 6.
Now, plug this into the equation for the sum of an arithmetic sequence:
[tex] \frac{n}{2}[2a(1) + (n-1)d] [/tex]
a(1) is 3 (the first number)
n = 36 (the number of terms to sum up to)
d = 6 (common difference)
[tex]18[6 + (35*6)][/tex]
[tex]18[216][/tex]
3888
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