1-Write-the-first-three-terms-of-each-of-the-following-sequences-a-a-n-3-n-2-n-1-b-a-n-1-n-1-n-3-

Question Number 156495 by chusrang last updated on 11/Oct/21

1 . Write the first three terms of each of the following sequences :

(a) a_{n} = \frac{3^{n}}{2^{n} + 1} (b) a_{n} = {(- 1)}^{n - 1} n^{3}

Answered by Rasheed.Sindhi last updated on 11/Oct/21

(a) \frac{3^{1}}{2^{1} + 1}, \frac{3^{2}}{2^{2} + 1}, \frac{3^{3}}{2^{3} + 1}

\frac{3}{2 + 1}, \frac{9}{4 + 1}, \frac{27}{8 + 1}

\frac{3}{3}, \frac{9}{5}, \frac{27}{9}

1, \frac{9}{5}, 3

(b) {(- 1)}^{1 - 1} {(1)}^{3}, {(- 1)}^{2 - 1} {(2)}^{3}, {(- 1)}^{3 - 1} {(3)}^{3}

{(- 1)}^{0} (1), (- 1) (8), {(- 1)}^{2} (27)

1, - 8, 27