Mathematics

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

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
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.