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Find the first three terms of the sequence defined below, where n n represents the position of a term in the sequence. Start with n=1 n = 1 .\newlinean=3(4)n a_n = 3(4)^n \newline____ \_\_\_\_ , ____ \_\_\_\_ , ____ \_\_\_\_

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Q. Find the first three terms of the sequence defined below, where n n represents the position of a term in the sequence. Start with n=1 n = 1 .\newlinean=3(4)n a_n = 3(4)^n \newline____ \_\_\_\_ , ____ \_\_\_\_ , ____ \_\_\_\_
  1. Determine first term: Determine the first term of the sequence a1a_1.\newlineSubstitute n=1n = 1 into the formula an=3(4)na_n = 3(4)^n to find the first term.\newlinea1=3(4)1a_1 = 3(4)^1\newline=3×4= 3 \times 4\newline=12= 12
  2. Find second term: Determine the second term of the sequence a2a_2.\newlineSubstitute n=2n = 2 into the formula an=3(4)na_n = 3(4)^n to find the second term.\newlinea2=3(4)2a_2 = 3(4)^2\newline=3×16= 3 \times 16\newline=48= 48
  3. Calculate third term: Determine the third term of the sequence a3a_3.\newlineSubstitute n=3n = 3 into the formula an=3(4)na_n = 3(4)^n to find the third term.\newlinea3=3(4)3a_3 = 3(4)^3\newline=3×64= 3 \times 64\newline=192= 192

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