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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.\newline2(4)n2(4)^n\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.\newline2(4)n2(4)^n\newline_____, _____, _____, _____, _____
  1. Find First Term: To find the first term when n=1n=1, plug in n=1n=1 into the formula 2(4)n2(4)^n.\newlineCalculation: 2(4)1=2×4=82(4)^1 = 2 \times 4 = 8.
  2. Calculate Second Term: For the second term when n=2n=2, plug in n=2n=2 into the formula 2(4)n2(4)^n.\newlineCalculation: 2(4)2=2×16=322(4)^2 = 2 \times 16 = 32.
  3. Determine Third Term: Now, find the third term with n=3n=3, using the same formula 2(4)n2(4)^n.\newlineCalculation: 2(4)3=2×64=1282(4)^3 = 2 \times 64 = 128.
  4. Compute Fourth Term: For the fourth term, n=4n=4, so we do the same thing, 2(4)n2(4)^n. Calculation: 2(4)4=2×256=5122(4)^4 = 2 \times 256 = 512.
  5. Find Fifth Term: Finally, for the fifth term, n=5n=5, we use the formula again, 2(4)n2(4)^n.\newlineCalculation: 2(4)5=2×1024=20482(4)^5 = 2 \times 1024 = 2048.

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