The nth term of two sequences are Qn = 3 . 2n - 2 and Um = 3 . 22m - 3. Find the product of Q2 and U2.
Question 1 Report
The nth term of two sequences are Qn = 3 . 2n - 2 and Um = 3 . 22m - 3. Find the product of Q2 and U2.
Answer Details
The nth term of the sequence Qn is Qn = 3*2^(n-2), and the mth term of the sequence Um is Um = 3*2^(2m-3).
We are asked to find the product of Q2 and U2, which means we need to find Q2 and U2 and then multiply them together.
Substituting n=2 in the formula for Qn, we get:
Q2 = 3*2^(2-2) = 3*2^0 = 3*1 = 3
Substituting m=2 in the formula for Um, we get:
U2 = 3*2^(2*2-3) = 3*2^1 = 3*2 = 6
So the product of Q2 and U2 is:
Q2 * U2 = 3 * 6 = 18
Therefore, the answer is (A) 18.
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