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Find a3a_3. a1=5a_1=5 an=an−1+5a_n=a_{n-1}+5 Write your answer as an integer or fraction in simplest form. a3=a_3=

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Q. Find a3a_3. a1=5a_1=5 an=an−1+5a_n=a_{n-1}+5 Write your answer as an integer or fraction in simplest form. a3=a_3=
  1. Given values: We are given the first term of the sequence, a1a_1, which is 55. We are also given a recursive formula for the sequence: an=an–1+5a_n = a_{n–1} + 5. This means that each term is 55 more than the previous term. To find a3a_3, we need to find a2a_2 first and then use it to find a3a_3.
  2. Find a2a_2: Using the recursive formula, let's find a2a_2. Since a1a_1 is 55, we have:\newlinea2=a1+5a_2 = a_1 + 5\newlinea2=5+5a_2 = 5 + 5\newlinea2=10a_2 = 10\newlineNow we have the value of a2a_2.
  3. Find a3a_3: Next, we use the value of a2a_2 to find a3a_3 using the same recursive formula:\newlinea3=a2+5a_3 = a_2 + 5\newlinea3=10+5a_3 = 10 + 5\newlinea3=15a_3 = 15\newlineNow we have the value of a3a_3.

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