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Find a2a_2 and a3a_3. a1=2a_1=2 an=2an−1a_n=2a_{n-1} Write your answers as integers or fractions in simplest form. a2= a_2=\ a3=a_3=

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Find terms of a recursive sequenceright chevron icon

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Q. Find a2a_2 and a3a_3. a1=2a_1=2 an=2an−1a_n=2a_{n-1} Write your answers as integers or fractions in simplest form. a2= a_2=\ a3=a_3=
  1. Given Information: We are given the first term of the sequence, a1=2a_1=2, and the recursive formula an=2an−1a_n=2a_{n-1}, which means each term is twice the previous term. To find a2a_2, we will use the formula with n=2n=2.\newlineCalculation: a2=2×a1=2×2=4a_2 = 2 \times a_1 = 2 \times 2 = 4
  2. Calculate a2a^2: Now that we have a2a^2, we can find a3a^3 using the same recursive formula with n=3n=3.\newlineCalculation: a3=2×a2=2×4=8a^3 = 2 \times a^2 = 2 \times 4 = 8

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