kenyacerizier kenyacerizier
  • 08-03-2018
  • Mathematics
contestada

Write an explicit formula for the sequence 4,-1,-6,-11,-16 then find a14

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evgeniylevi
evgeniylevi evgeniylevi
  • 08-03-2018
Try this solution:
1. note, that 4-5=-1; -1-5=-6; -6-5=-11; -11-5=-16, etc.
The suggested sequence is arithmetic, where a₁=4; d=-5.
2. using a₁ and d it is possible to calculate a₁₄=a₁+d(n-1)=a₁-5(14-1)=4-5*13=4-65=-61.

Answer: -61
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