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Mathematics
JAMB
The nth term of two sequences are Q
n
= 3 . 2
n - 2
and U
m
= 3 . 2
2m - 3
. Find the product of Q
2
and U
2
.
A.
18
B.
12
C.
6
D.
3
Correct Answer:
18
Explanation
Q
n
= 3 = 3 * 2
n - 2
U
m
= 3 * 2
2m - 3
Q
2
* U
2
= (3 * 2
2 - 2
) * (3 * 2
2(2) - 3
) = 3 * 2sup>0 * 3 * 2sup>1 = 3 * 1 * 3 * 2 = 18
Q
n
= 3 = 3 * 2
n - 2
U
m
= 3 * 2
2m - 3
Q
2
* U
2
= (3 * 2
2 - 2
) * (3 * 2
2(2) - 3
) = 3 * 2sup>0 * 3 * 2sup>1 = 3 * 1 * 3 * 2 = 18
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