Question

Find the 95th term of the arithmetic sequence 4, -5, -14

Answer 1

Answer: -842

Step-by-step explanation:

To find n95, we have to use the equation aₙ = d * n + a₁ - d

a₁ is the first term, which here is 4. d is the common difference, which we can find out but seeing what we can add pr subtract from 4 to -5 which also equals -5 to -14, in this equation, the common difference would be -9 as it goes down by 9 every term. Once we plug these into the equation, we get

a₉₅ = -9 * n + 4 - (-9)

We can solve this for - aₙ = -9n + 13

Now that we have our equation to find a term, we can plug in n for 95 for

-9(95) + 13

Which equals -842