Respuesta :

QUESTION 24

The explicit formula is given as:

[tex]a_n = 4 - 6(n - 1)[/tex]

Comparing to the formula:

[tex]a_n = a_1 + d(n - 1)[/tex]

The common difference is d=-6.

The first term is

[tex]a_1=4[/tex]

The recursive formula is given by

[tex]a_n=a_{n-1}+d[/tex]

Hence the recursive formula is:

[tex]a_n=a_{n-1} - 6 \: \: where \: \: a_1=4[/tex]

The correct answer is C

QUESTION 25

The given sequence has formula,

A(n)=5+(n-1)(6)

We can rewrite this as:

A(n)=5+6(n-1)

This implies that, the first term is

[tex]a_1 = 5[/tex]

and the common difference is d=6

We can rewrite this formula recursively as

[tex]a_n=a_{n-1}+d[/tex]

[tex]a_n=a_{n-1}+6 \: \: where \: \: a_1=5[/tex]

The correct choices are:

C and D