John is trying to initialize the trend estimates for an exponential smoothing model with trends using the following demand data. He set the initialized trend estimate at the end of period 5 to . Complete the sentence correctly. Period 1 2 3 4 5 Demands 56 59 53 60 63

59.357

Step-by-step explanation:

Ft= αAt-1+ (1-α)Ft-1

Let's take F1=56

F2=0.9(56)+(1-0.9)(56)

F2=56

F3=0.9(59)+(1-0.9)(56)

      = 58.7

F4=0.9(53) + (1-0.9)(58.7)

F4=53.57

F5= 0.9(60) + (1-0.9)(53.57)

F5=59.357

(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

step-by-step explanation:

a'(12.5,11.25)

slope=(y1-y2)/(x1-x2)