KaylaMaroon
KaylaMaroon KaylaMaroon
  • 15-04-2020
  • Mathematics
contestada

What is the 101st term in the sequence 852, 846, 840, … ?
1452
1458
246
252

Respuesta :

SjpSparkle
SjpSparkle SjpSparkle
  • 15-04-2020

Answer:

A(101) = 252

Step-by-step explanation:

Utilize the equation A(n) = A1 + (n-1)d

  • n > the nth term
  • A1 > first term in sequence (852)
  • d > common difference (-6)

Plug in and simplify.

  1. A(n) = 852 + (n-1)(-6)
  2. A(n) = 852 - 6n + 6
  3. A(n) = - 6n + 858

Finally, plug in 101 for n.

  1. A(101) = - 6(101) + 858
  2. A(101) = - 606 + 858
  3. A(101) = 252
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