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Alice is 14 years old. Mary is twice as old as John and 2 years older than Alice.
How old is John?
a)
6
b)
8
c)
7
d)
None of the above
-
Summation of a geometric series
Calculate $\sum_{k=0}^\infty\alpha^k$ for a complex number $|\alpha|<1$.
a)
$\frac{1}{1-\alpha}$
b)
$\frac{\alpha}{1-\alpha}$
c)
$\alpha$
-
Consider a discrete-time linear time invariant system with impulse response $h[n]=\delta[n]-\delta[n-1]$. What is the output of the system, $y[n]$, when the input is $x[n]=u[n]$?
a)
$y[n] = u[n]$
b)
$y[n] = u[n-1]$
c)
$y[n] = \delta[n]$
d)
$y[n] = \delta[n-1]$
e)
$y[n] = \delta[n] - \delta[n-1]$
