If $2^{1998} - 2^{1997} - 2^{1996} + 2^{1995} = k 2^{1995}$ , then the value of K is ___

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Solution

The correct option is C 3
$2^{1998} - 2^{1997} - 2^{1996} + 2^{1995} = 2^{1997} (2 - 1) - 2^{1995} (2 - 1) = 2^{1997} - 2^{1995} = 2^{1995} (2^{2} - 1) = 3 \times 2^{1995}$

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Similar questions

2^{1998} - 2^{1997} - 2^{1996} + 2^{1995} = {K .2}^{1995}

K

Question 9

If $2^{1998} - 2^{1997} - 2^{1996} + 2^{1995} = k {.2}^{1995},$ then the value of $k$ is
(a) 1
(b) 2
(c) 3
(d) 4

Find the value of ‘k’ if $x - 1$ is a factor of P(x) = 4 $x^{3}$ + $x^{2} - 3 x + k$ .

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