Find the first six terms of the piecewise sequence: $$ a_{n}=\left\{\begin{array}{ll}(-2)^{n}-7 & ext { if } n ext { is even } \ 3^{n-1}-6 & ext { if } n ext { is odd }\end{array} ight. $$ $$ a_{1}=\square $$ $$ a_{2}=\square $$ $$ a_{3}=\square $$ $$ a_{4}=\square $$ $$ a_{5}=\square $$ $$ a_{6}=\square $$

Question

Find the first six terms of the piecewise sequence: $$ a_{n}=\left\{\begin{array}{ll}(-2)^{n}-7 & 	ext { if } n 	ext { is even } \ 3^{n-1}-6 & 	ext { if } n 	ext { is odd }\end{array}ight. $$ $$ a_{1}=\square $$ $$ a_{2}=\square $$ $$ a_{3}=\square $$ $$ a_{4}=\square $$ $$ a_{5}=\square $$ $$ a_{6}=\square $$

Vargas Lynch · Accepted Answer

The first six terms of the sequence are: $$ \begin{align*} a_1 & = -5 \ a_2 & = -3 \ a_3 & = 3 \ a_4 & = 9 \ a_5 & = 75 \ a_6 & = 57 \ \end{align*} $$

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