\(2 + 2^1 = 2 + 2 = 4 = 2^2\)
Similarly,\(2 + 2^1 + 2^2 = 2^3\) and\(2 + 2^1 + 2^2 + 2^3 = 2^4\) and so on..
Therefore,\(2 + 2^1 + 2^2 + 2^3 + ...... + 2^{17} = 2^{18}\)
The value of the expression\(2 + 2^1 + 2^2 + 2^3........... + 2^{17} + 2^{18}\) =\(2^{18} + 2^{18}\) =\(2^{18}(1+1)\) =\(2^{18} * 2\) =\(2^{19}\) Option A)
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Similarly,\(2 + 2^1 + 2^2 = 2^3\) and\(2 + 2^1 + 2^2 + 2^3 = 2^4\) and so on..
Therefore,\(2 + 2^1 + 2^2 + 2^3 + ...... + 2^{17} = 2^{18}\)
The value of the expression\(2 + 2^1 + 2^2 + 2^3........... + 2^{17} + 2^{18}\) =\(2^{18} + 2^{18}\) =\(2^{18}(1+1)\) =\(2^{18} * 2\) =\(2^{19}\) Option A)
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