What are the first five terms of the sequence given by the formula an = 4n + 1?

5,9,13,17,21

Step-by-step explanation:

We can the values in "n"

a(1)=4(1)+1

a(1)=5

a(2)=4(2)+1

a(2)=9

a(3)=4(3)+1

a(3)=13

a(4)=4(4)+1

a(4)=17

a(5)=4(5)+1

a(5)=21

As you can see, each value consecutively increases by 4, this is also known as the common difference (d).

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

soo this can be solve by using the formula:

f = p( 1 + i)^ n

where f is the future profit

p is the initial profit

i is the percent increase

n is the number of years

a . f = 30000 ( 1.05)^n

b. f = 30000 ( 1.05)^15

f = $62,368