Given the arithmetic sequence an = 5 + 2(n − 1), what is the domain for n?

all integers
all integers where n ≥ 0
all integers where n > 1
all integers where n ≥ 1

someone me. you.

The domain for n is:

            All integers where n ≥ 1

We know that the domain is the collection of all the possible input values i.e. for which the function or sequence is well defined.

The arithmetic sequence is given by:

We know that the terms of the sequence is given by:

i.e. first term, second term and third term and so on.

Hence, n=1 i.e. it starts with the first term of the sequence.

                Hence, the answer is:

                All integers where n ≥ 1

hi, i am not sure about this one but i think its d,

hope this !

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}