Which term of the sequence -3, 2, 7,.... would give you 117?
2 answers:
Answer:
- aₙ = 5n - 8
- 25th term is 117
Step-by-step explanation:
<u>Given sequence:</u>
<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
Answer:
25th
Step-by-step explanation:
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