Find the first five terms of the geometric sequence whose constant ratio is -5 and whose first term is 6.

6, -30, 150, -750 and 3750.

Step-by-step explanation:

First term= 6

Second term= ar = 6×(-5)= -30

Third term= ar^2 = 6×(-5)(-5) = 150

Forth term= ar^3 = 6×(-5)^3 = -750

Fifth term= ar^4 = 6×(-5)^4 = 3750

6,-30,150,-750,3750

Step-by-step explanation:

Geometric progression formula is

An=a1r^(n-1)

An= nth term

A1= first term

R= common ratio

N= nth position

A1=6

R=-5

We already know the first term,looking for 2nd 3rd 4th & 5th

A2=a1r^(n-1)

A2=6×(-5^(2-1))

A2=6×(-5^1)

A2=6×-5

A2= -30

A3=a1r^(n-1)

A3=6×(-5^(3-1))

A3=6×(-5^(2))

A3=6×(25)

A3= 150

A4=a1r^(n-1)

A4=6×(-5^(4-1))

A4=6×(-5^3)

A4=6×-125

A4= -750

A5=a1r^(n-1)

A5=6×(-5^(5-1))

A5=6×(-5^(4))

A5=6×(625)

A5=3750

The first 5 numbers are

6,-30,150,-750,3750

u what ?

step-by-step explanation:

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.