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Find the first three terms of the sequence defined below, where nn represents the position of a term in the sequence. Start with n=1n = 1.\newlinean=3n+4a_n = 3n + 4\newline_____, _____, _____

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Q. Find the first three terms of the sequence defined below, where nn represents the position of a term in the sequence. Start with n=1n = 1.\newlinean=3n+4a_n = 3n + 4\newline_____, _____, _____
  1. Find first term: Find the first term of the sequence, a1a_1. The formula for the nth term is an=3n+4a_n = 3n + 4. To find the first term, substitute n=1n = 1 into the formula. a1=3(1)+4a_1 = 3(1) + 4 a1=3+4a_1 = 3 + 4 a1=7a_1 = 7
  2. Find second term: Find the second term of the sequence, a2a_2. Using the same formula, an=3n+4a_n = 3n + 4, find the second term by substituting n=2n = 2. a2=3(2)+4a_2 = 3(2) + 4 a2=6+4a_2 = 6 + 4 a2=10a_2 = 10
  3. Find third term: Find the third term of the sequence, a3a_3. Again, use the formula an=3n+4a_n = 3n + 4 and substitute n=3n = 3 to find the third term. a3=3(3)+4a_3 = 3(3) + 4 a3=9+4a_3 = 9 + 4 a3=13a_3 = 13

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