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Find the first five terms of the sequence defined below, where nn represents the position of a term in the sequence. Start with n=1n = 1.\newline4n8–4n − 8\newline_____, _____, _____, _____, _____

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Q. Find the first five terms of the sequence defined below, where nn represents the position of a term in the sequence. Start with n=1n = 1.\newline4n8–4n − 8\newline_____, _____, _____, _____, _____
  1. Define formula and variable: Step 11: Define the sequence formula and identify the variable.\newlineThe sequence is given by the formula 4n8–4n − 8, where nn is the position of the term in the sequence. We start with n=1n = 1.
  2. Calculate first term: Step 22: Calculate the first term n=1n = 1.\newlineSubstitute n=1n = 1 into the formula:\newline4(1)8=48=12–4(1) − 8 = -4 - 8 = -12.
  3. Calculate second term: Step 33: Calculate the second term n=2n = 2.\newlineSubstitute n=2n = 2 into the formula:\newline4(2)8=88=16–4(2) − 8 = -8 - 8 = -16.
  4. Calculate third term: Step 44: Calculate the third term n=3n = 3.\newlineSubstitute n=3n = 3 into the formula:\newline4(3)8=128=20–4(3) − 8 = -12 - 8 = -20.
  5. Calculate fourth term: Step 55: Calculate the fourth term n=4n = 4.\newlineSubstitute n=4n = 4 into the formula:\newline4(4)8=168=24–4(4) − 8 = -16 - 8 = -24.
  6. Calculate fifth term: Step 66: Calculate the fifth term n=5n = 5.\newlineSubstitute n=5n = 5 into the formula:\newline4(5)8=208=28–4(5) − 8 = -20 - 8 = -28.

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