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The nth term of the sequence -2, 4, -8, 16…. is given by

The nth term of the sequence -2, 4, -8, 16…. is given by

A.
T_n = 2ⁿ
B.
T_n = (-2)ⁿ
C.
Tⁿ = (-2n)
D.
T_n = n

Correct Answer: Option B

Explanation

sequence: -2, 4, -8, 16……..{GP}
a = -2; r = (frac{4}{-2}) = -2
nth term T_n = ar^n-1
T_n = (-2)(-2)^^n-1
T_n = (-2)^{1 + n – 1}
T_n = (-2)ⁿ