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The rule of a certain sequence is k=(2n)−1k=(2n)-1. Find the first four terms of the sequence.

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Full solution

Q. The rule of a certain sequence is k=(2n)−1k=(2n)-1. Find the first four terms of the sequence.
  1. Calculate first term: Calculate the first term of the sequence, k1k_1.k=(2n)−1k = (2n) - 1k1=(2×1)−1=1k_1 = (2\times 1) - 1 = 1
  2. Calculate second term: Calculate the second term of the sequence, k2k_2. \newlinek=(2n)−1k = (2n) - 1\newlinek2=(2×2)−1=3k_2 = (2\times2) - 1 = 3
  3. Calculate third term: Calculate the third term of the sequence, k3k_3.k=(2n)−1k = (2n) - 1k3=(2×3)−1=5k_3 = (2\times3) - 1 = 5
  4. Calculate fourth term: Calculate the fourth term of the sequence, k4k_4.k=(2n)−1k = (2n) - 1k4=(2×4)−1=7k_4 = (2\times4) - 1 = 7

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