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

Mathematics
WAEC 2010

The nth term of the sequence -2, 4, -8, 16.... is given by
  • A. Tn = 2n
  • B. Tn = (-2)n
  • C. Tn = (-2n)
  • D. Tn = n
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Correct Answer: Option B
Explanation
sequence: -2, 4, -8, 16........{GP}

a = -2; r = \(\frac{4}{-2}\) = -2

nth term Tn = arn-1

Tn = (-2)(-2)^n-1

Tn = (-2)1 + n - 1

Tn = (-2)n

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