(04.06) a sequence has its first term equal to 8, and each term of the sequence is obtained by adding 6 to the previous term. if f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence? (1 point)

The recursive function which best represents the sequence is:

f(n)=f(n-1)+6

Step-by-step explanation:

A sequence has its first term equal to 8, and each term of the sequence is obtained by adding 6 to the previous term.

i.e. f(n) represents the n th term of the sequence

Then, f(1)=8

f(2)=f(1)+6

f(3)=f(2)+6

in general, f(n)=f(n-1)+6

Hence, the recursive function which best represents the sequence is:

f(n)=f(n-1)+6

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

no ,sorry if you needed it but you can ask and try to see if any one will anwser ,

step-by-step explanation:

by good luck mark me as brainliest

have a nice day