Question

Find the first three terms of the sequences whose n th term is given. s subscript n space equals space left parenthesis negative space 1 right parenthesis to the power of n space plus space 9 end exponent

Answer 1

To find the first three terms of the sequence with the formula s_n = (-1)^n + 9^n, substitute n=1, n=2, and n=3. The first three terms are 8, 82, and 728.

Step-by-step explanation:

To find the first three terms of the sequence whose nth term is given by the formula sn = (-1)^n + 9^n, we need to simply plug in the values of n for the first three terms, which means using n = 1, n = 2, and n = 3.

• For n = 1, we get s1 = (-1)^1 + 9^1 = -1 + 9 = 8.
• For n = 2, we get s2 = (-1)^2 + 9^2 = 1 + 81 = 82.
• For n = 3, we get s3 = (-1)^3 + 9^3 = -1 + 729 = 728.

Hence, the first three terms of the sequence are 8, 82, and 728.