Here is the graph of an exponential function f. Coordinate plane, x, 0 to 4 by 1, y, 0 to 800 by 200. Curve starts on the y-axis between 0 and 100, goes through 1 comma 100, 2 comma 200, 3 comma 400, 4 comma 800. Find an equation defining f. Explain your reasoning.

7.3

step-by-step explanation:

c > -10.55

step-by-step explanation:

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week