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The nth term of a sequence is given by 3.2\(^{n-2}\). Write down the first three...

Mathematics
WAEC 1992

The nth term of a sequence is given by 3.2\(^{n-2}\). Write down the first three terms of the sequence.

  • A. 2/3, 0, 6
  • B. 3/2, 3, 6,
  • C. 2/3, 3, 8/3
  • D. 2/3, 3/4, 6
  • E. 2/3, 3, 1/3
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Correct Answer: Option B
Explanation

\(T_n = 3. 2^{n - 2} \\

T_{1} = 3. 2^{1 - 2} = 3. 2^{-1} \\

T_1 = \frac{3}{2} \)

\(T_2 = 3. 2^{2 - 2} \\

T_2 = 3. 2^0  = 3\)

\(T_3 = 3. 2^{3 - 2} = 3. 2^1 \\

T_3 = 6\)

The first 3 terms of the sequence are \(\frac{3}{2}\), 3 and 6.


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