adriank531owho6u
contestada

Jobie starts with $325 in her piggy bank. Each month she adds $10.

Which recursive function rule models the total amount in Jobie’s piggy bank at the end of each month?

an=10⋅an−1 ​ and a1=325

an=10+an−1 ​ and a1=325

an=325⋅an−1 and a1=10

an=325+an−1 and a1=10

Respuesta :

johnmerk2002
I think it is the fourth one
Numenius

A recursive formula represent the nth terms of a sequence in terms of it's previous (n-1)th term and it include first term.

Let's assume,

[tex] a_{1} [/tex] = First term,

[tex] a_{n} [/tex] = nth term,

[tex] a_{n-1} [/tex]= Previous term of nth term or (n-1) the term.

According to the problem,

Jobie starts with $325 in her piggy bank. Each month she adds $10.

Which means first term: [tex] a_{1} = 325 [/tex]

Since he is adding $10 each month. So, this month if he will have [tex] a_{n-1} [/tex] then in the next month he will have [tex] 10+a_{n-1} [/tex].

So, the recursive formula will be ,

[tex] a_{n} =10+a_{n-1} , a_{1} =325 [/tex]

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