Question

Álgebra 1 please help!!!

Answer 1

Answer:

a. geometric sequence

b. an = 5(2)^n-1

c. an+1 = an x 2

Step-by-step explanation:

The sequence: 5, 10, 20, 40,...

a. The sequence is geometric because the sequence has a common ratio of 2, each number is made by multiplying the previous number with the common ratio (2).

b. The explicit formula for this sequence is an = 5(2)^n-1

The explicit formula for a geometric sequence is

an = a1 (r)^n-1

Substituting that with the values we know, we will get

an = 5(2)^n-1

c. The recursive formula for this sequence is an+1 = an x 2

The recursive formula for a geometric sequence is

an+1 = an x r

Substituting for the values we know, we get

an+1 = an x 2

Let me know in the comments if you have any questions! If you could mark this answer as brainliest, I would very much appreciate it