Question

What is the initial value of the sequence?

The points shown on the graph represent the numbers in a
geometric sequence.

Answer 1

Answer:Just took the test, it is 2 on edg

Explanation:

:)

Answer 2

The initial value of the given geometric sequence is 2.

Explanation:

The given points are (1,2), (2,4) and (3,8).

It means the first term is 2, second term is 4 and third term is 8. So, the common ratio is

`r=(a_2)/(a_1)=(4)/(2)=2`

A geometric sequence is defined as

`f(n)=ar^(n-1)`

Where, a is first term of the sequence, r is common ratio and n is number of term. In other words f(1) is the initial value of the geometric sequence.

The given geometric sequence is

`f(n)=2(2)^(n-1)`

The value of f(1) is 2.

Therefore the initial value of the given geometric sequence is 2.