Question

NO LINKS!! Please help me with this problem. Part 9ff​

Answer 1

`a_1= \boxed{2}`

`a_2= \boxed{0}`

`a_3= \boxed{2}`

`a_4= \boxed{0}`

`a_5= \boxed{2}`

Explanation:

Given sequence:

`a_n=1+(-1)^(n+1)`

Calculate the first five terms of the sequence (assuming that n begins with n = 1) by applying the following exponent rules:

`\boxed{\begin{minipage}{4.7cm}\textsf{$\left(-a\right)^n=a^n$,\quad if $n$ is even}\\\\\textsf{$\left(-a\right)^n=-a^n$,\quad if $n$ is odd}\end{minipage}}`

`\begin{aligned}\implies a_1&=1+(-1)^(1+1)\\&=1+(-1)^(2)\\&=1+1\\&=2\end{aligned}`

`\begin{aligned}\implies a_2&=1+(-1)^(2+1)\\&=1+(-1)^(3)\\&=1+(-1)\\&=1-1\\&=0\end{aligned}`

`\begin{aligned}\implies a_3&=1+(-1)^(3+1)\\&=1+(-1)^(4)\\&=1+1\\&=2\end{aligned}`

`\begin{aligned}\implies a_4&=1+(-1)^(4+1)\\&=1+(-1)^(5)\\&=1+(-1)\\&=1-1\\&=0\end{aligned}`

`\begin{aligned}\implies a_5&=1+(-1)^(5+1)\\&=1+(-1)^(6)\\&=1+1\\&=2\end{aligned}`