Find the 14th term of the following geometric sequence.
5, 15, 45, 135, ...
What’s the answer to this problem

The 14th term is 7971615

Step-by-step explanation:

The nth term of a geometric sequence is

T_n = ar^(n-1)

T_14 = ar^13

where a is the first term = 5

r is the common ratio gotten by dividing second term by first term or third term by second term

r = 15/5=45/15=135/45=3

T_14 = 5[3^(13)]

T_14 = 5(1594323)

T_14 = 7971615

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

fd

step-by-step explanation: