yessenia6789 yessenia6789
  • 15-05-2020
  • Mathematics
contestada

Find the 91st term of the arithmetic sequence 5, -14, -33, ...

Respuesta :

altavistard
altavistard altavistard
  • 04-07-2021

Answer:

a(91) = -1705

Step-by-step explanation:

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is    a(91) = 5 - 19(91 - 1), or

                                        a(91) = 5 - 1710, or

                                        a(91) = -1705

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