Determine the 4th term in the geometric sequence whose first term is -2 and whose common ratio is -5

1 answer:

4 0

Again, any geometric sequence can be expressed as:

a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number

We are told that a=-2 and r=-5 so:

a(4)=-2(-5)^(4-1)

a(4)=-2(-5)^3

a(4)=250

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mixer [17]

Answer:

x = 20

Step-by-step explanation:

The angles shown are alternate exterior angles.

Alternate exterior angles are congruent

This means that 46 must equal 3x - 14

Note that we've just created an equation that we can use to solve for

We now use the equation to solve for x

3x - 14 = 46

add 14 to both sides

3x - 14 + 14 = 46 + 14

simplify

3x = 60

Divide both sides by 3

3x / 3 = x

60 / 3 = 20

We get that x = 20

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in a circle, a 60° sector has an area of a 36π cm^2. find the radius of the circle. round your answer to the nearest whole centi

hammer [34]

Area of circle = $\frac{ \theta }{360^o} \times \pi r^2 \\ 36 \pi = \frac{60^o}{360^o} \times \pi r^2 \\ r^2=216 \\ r= \sqrt{216} =14.70 \ cm \\ r=15 \ cm \ to \ the \ nearest \ whole \ centimeter.$

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3 years ago

A total of 480 were sold for the school play. They were either adult tickets or students tickets. The number of student tickets

Talja [164]

Ok so basically, the number of student tickets is 3x, where x=the number of adult tickets sold. And we know that s(for student tickets)+x=480 total tickets sold. So if we replace s with 3x we have 3x+x=480, or 4x=480. We divide by 4 and get x=120, which is the amount of adult tickets sold.

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Solnce55 [7]

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2 years ago

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