Klapr2i8ncessic
Klapr2i8ncessic Klapr2i8ncessic
  • 18-07-2016
  • Mathematics
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Identify the 31st term of an arithmetic sequence where a1= 26 and a22 = -226

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meerkat18
meerkat18 meerkat18
  • 19-07-2016
First determine the common difference by the equation,
                                    d = (an - a1) / (n - 1)
Using the given values,
                                    d = (-226 - 26) / (22 -1) = -12
Then, determine the 31st term,
                                  a31 = a1 + (31 - 1) x (d)
Substituting,
                                   a31 = 26 + (30)(-12) = -334
Therefore, the 31st term is -334. 
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