Let p, q, r, s represent propositions: p: x ∈ {8, 9, 10, 11, 12} q: x is a composite number r: x is a perfect square s: x is a pri…

Let a_n be the number of n-bit strings that do NOT contain two consecutive 1s. Which one of the following is the recurrence relati…

A probability density function on the interval [a, 1] is given by 1/x^2 and outside this interval the value of the function is zer…

Two eigenvalues of a 3x3 real matrix P are (2 + √-1) and 3. The determinant of P is _______

The coefficient of x^12 in (x^3 + x^4 + x^5 + x^6 + ...)^3 is _______

Consider the recurrence relation a1 = 8, an = 6n^2 + 2n + a_(n-1). Let a99 = K * 10^4. The value of K is _______