princewarrior
contestada

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 choices

3

5

8

15

Respuesta :

Edufirst

Answer:

  • Fourth choice: 15

Explanation:

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).

Otras preguntas