find the 3rd term in the sequence: an =(-1)n+15n+1

Question

find the 3rd term in the sequence: a_n =(-1)ⁿ⁺¹5ⁿ⁺¹

Answer 1

The third term in the sequence: a₃ =(-1)³⁺¹5³⁺¹ = 5⁴ = 625, if n starts from 1.

Answer 2

Hi, Grace.

a_n =(-1)ⁿ⁺¹5ⁿ⁺¹ is the general term of a sequence. To find any specific term, replace n with the number of the term.

To find the 3rd term in the sequence, replace n with 3:

a₃ = (-1)⁴5⁴

    = (1)(625)

     = 625

Hope this helps!

Answer 3

It's like with your other problem. This time plug in n=3.

a₃ = (-1)³⁺¹5³⁺¹ = (-1)⁴5⁴ = 1*625 = 625