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antoniya [11.8K]
2 years ago
9

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

Mathematics
2 answers:
VMariaS [17]2 years ago
5 0

Answer:

  • aₙ = 5n - 8
  • 25th term is 117

Step-by-step explanation:

<u>Given sequence:</u>

  • -3, 2, 7, ...

<u>This is an AP with:</u>

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

<u>Equation of the nth term:</u>

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

We have the nth term a = 117.

<u>Find the value of n using the equation above:</u>

  • 117 = 5n - 8
  • 5n = 117 + 8
  • 5n = 125
  • n = 125/5
  • n = 25
Ne4ueva [31]2 years ago
3 0

Answer:

25th

Step-by-step explanation:

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