What is the explicit formula for this sequence? 2,6, 18, 54, 162..
h
A. an=2(3)"
B. an = 2 + 3(n-1)
c. A = 3(2)(n-1)
D. an
2(3)(n-1)

D.

Step-by-step explanation:

r = 3

a1 = 2

Our explicit formula is an = a1 (r)^(n-1)

Simply plug in the terms

an = 2(3)^(n-1)

D. aₙ= 2*3ⁿ⁻¹

Step-by-step explanation:

It is GP with common ratio of 3 as 6/2=18/6=54/18=162/54= 3 and the first term of 2

then aₙ= 2*3ⁿ⁻¹ is the formula

Option D is correct one

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

~just a girl in love with shawn mendes

(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