Home » The nth term of a sequence is (2^{2n-1}). Which term of the sequence is (2^9?)

The nth term of a sequence is (2^{2n-1}). Which term of the sequence is (2^9?)

The nth term of a sequence is (2^{2n-1}). Which term of the sequence is (2^9?)

  • A.
    3rd
  • B.
    4th
  • C.
    5th
  • D.
    6th
Correct Answer: Option C
Explanation

(T_{n} = 2^{2n – 1})

(2^{2n – 1} = 2^9)

(2n – 1 = 9 implies 2n = 9 + 1)

(2n = 10 implies n = 5)

The 5th term = 2(^9)