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  • 15-07-2017
  • Mathematics
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find the 16th term of the series 7+2-3-8-13-•••••••••

Respuesta :

Sxerks Sxerks
  • 15-07-2017
Common difference is -5.
Thus, this will be an arithmetic series.

Sum is given by:
[tex]a_n = \frac{n}{2}[2a_1 + (n - 1)d][/tex]
[tex]a_{16} = \frac{16}{2}[2(7) + (16 - 1)(-5)][/tex]
[tex] = 8[14 + (15)(-5)][/tex]
[tex] = 8[14 - 75][/tex]
[tex] = 8(-61)[/tex]
[tex] = -488[/tex]
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