↵Write the first five terms of the sequence defined by a_n=(-1)^n-1.2ⁿ
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Solution

$n^{t h} term of the A . P is given by a_{n} = {(- 1)}^{n - 1} {(2)}^{n} For n = 1, we get a_{1} = {(- 1)}^{1 - 1} {(2)}^{1} = {(- 1)}^{0} {(2)}^{1} = 2 a_{2} = {(- 1)}^{2 - 1} {(2)}^{2} = {(- 1)}^{1} {(2)}^{2} = - 4 a_{3} = {(- 1)}^{3 - 1} {(2)}^{3} = {(- 1)}^{2} {(2)}^{3} = 8 a_{4} = {(- 1)}^{4 - 1} {(2)}^{4} = {(- 1)}^{3} {(2)}^{4} = - 16 a_{5} = {(- 1)}^{5 - 1} {(2)}^{5} = {(- 1)}^{4} {(2)}^{5} = 32$

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a_{n} = (- 1)^{n - 1} . 2^{n}

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