The first four terms of a sequence are shown. 2, 10, 50, 250, 1250...
Write an explicit function to model the value of the nth term in the sequence such that f(1) = 2.
(i will mark you brainliest if you’re right please i’m dying)
please help please please please

Step-by-step explanation:

you can see that each term is 5 times the previous term. Since the first term is 2, the sequence is

2, 2(5), 2(5^2), 2(5^3), . . . .

You can see that 5 is raised to the power 1 less than the term number.  So,

not sure but it may be b, as i said i'm not sure.

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: