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Which term of the sequence -3, 2, 7,.... would give you 117?


state the arithmetic sequence explicit formula


List your values below

an = a1 = d= n =


State Explicit Formula:

Sagot :

mhanifa

Answer:

  • aₙ = 5n - 8
  • 25th term is 117

Step-by-step explanation:

Given sequence:

  • -3, 2, 7, ...

This is an AP with:

  • First term a = - 3
  • Common difference d = 7 - 2 = 5 or d = 2 - (-3) = 5

Equation of the nth term:

  • aₙ = a + (n - 1)d
  • aₙ = - 3 + (n - 1)*5 =
  •        -3 + 5n - 5 =
  •         5n - 8

We have the nth term a = 117.

Find the value of n using the equation above:

  • 117 = 5n - 8
  • 5n = 117 + 8
  • 5n = 125
  • n = 125/5
  • n = 25
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