Question

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

Answer 1

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

Answer 2

Answer:

25th

Step-by-step explanation: