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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

Given that the first term is LaTeX t15t 1 5 and the recursive definition is LaTeX tn13cdot tnt n 1 3 t n what would be the second term ie LaTeX t2t 2 Group of a class=

Respuesta :

absor201

Option 4: 15 is the right answer

Step-by-step explanation:

Given

[tex]t_1 = 5[/tex]

The recursive formula for given sequence is:

[tex]t_{n+1} = 3.t_n[/tex]

This means that the previous term can be sued to find the next term

So in order to find the 2nd terms i.e. t2

[tex]t_{1+1} = 3.t_1\\t_2 = 3.5\\t_2 = 15[/tex]

The second term is 15

Hence

Option 4: 15 is the right answer

Keywords: Sequence, recursive formula

Learn more about sequences at:

  • brainly.com/question/4939434
  • brainly.com/question/4980053

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