The function f ( x ) = 2 ⋅ 5 ^x can be used to represent an exponential growth curve. Which of the following points is NOT on the curve?

Group of answer choices

(3, 250)

(1, 10)

(2, 20)

(2, 50)

Point (2, 20) does not lie on the given curve.

Step-by-step explanation:

Let us see explanation:

(2, 20) is not on the curve.

Step-by-step explanation:

When x = 3,  f(x) =  2*5^3 = 250 .  So (3, 250) is on the curve.

When x = 1, f(x) = 2*5^1 = 10 .  So (1, 10) is on the curve.

When x = 2, f(x) =  2*5^2 = 50 .   So (2, 50) is on the curve.

From the last line we see that (2, 20) is NOT  on the curve.

a and c

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for