Given that the first term is LaTeX: t_1=5t 1 = 5, and the recursive definition is LaTeX: t_{n+1}=3\cdot t_nt n + 1 = 3 ⋅ t n, what would be the second term (i.e. LaTeX: t_2t 2)Group of answer choices35815

Answer:Fourth choice: 15Explanation:The question is: given that the first term is    [tex]t_1=5[/tex]    and the recursive definition is    [tex]t_{n+1}=3\cdot t_n[/tex]    , what would be the second term (i.e.    [tex]t_2[/tex]    )A recursive defintion or recursive formula is an equation (a rule) that you apply over a term to find the next term, and so you can use it repeatedly to find the successive terms of a series.In this case, your rule is that you multiply each term by 3, starting from 5.Thus:First term:     [tex]t_1=5[/tex]Second term = 3 × first term :    [tex]t_2=3\cdot t_1=3\cdot 5=15[/tex]Hence, your answer is 15 (the fourth choice).