All categories

3 years ago

What is the next term in the geometric sequence? 54,36,24

Mathematics

2 answers:

katovenus [111]3 years ago

8 0

I think 16...............

vodomira [7]3 years ago

7 0

Answer: 16

Step-by-step explanation:

The formular for calculating the nth term of a geometric progression is arⁿ⁻¹

WHERE a= first term, r = common ratio and n= number of term

a = 54

since we are looking for the fourth term n = 4

To get our common ratio; we simply divide a number by its preceding number

r = 36/54 = 2/3

our fourth term is;

Tn = arⁿ⁻¹

T₄ = 54 (2/3)⁴⁻¹

= 54 (2/3)³

=54(8/27)

= 432/27

=16

Therefore the next term is 16

You might be interested in

Timothy has a model of an armoured vehicle created using a scale of 1 : 72. If the length of the model is 3.3 inches, what is th

S_A_V [24]

Answer:

Length of armoured vehicle: 19.8 ft

Step-by-step explanation:

1 is to 3.3 in as 72 is to x:

1 72

-------- = --------

3.3 x

This yields x = 237.6 (inches), which corresponds to 237.6/12 (feet):

Length of armoured vehicle: 19.8 ft

6 0

2 years ago

Find all real zeros of the function y=-6x-5, b. –6 d. –6, –5 Please select the best answer from the choices provided A B C D

Lelechka [254]

Answer:

$x=-\frac{5}{6}$

Step-by-step explanation:

Equation given: y=-6x-5.

In order to find zeros of an equation, substitute y=0 in the given equation.

0=-6x-5

-6x-5=0

-6x=5

$x=\frac{5}{-6}\\x=-\frac{5}{6}$

Therefore, $x=-\frac{5}{6}$ is zero for our given equation

4 0

3 years ago

Which one is a continuous variable?

Leya [2.2K]

Answer:

c. shoesize

Step-by-step explanation:

Continuous variables are numeric variables that have an infinite number of values between any two values. A continuous variable can be numeric or date/time. For example, the length of a part or the date and time a payment is received.

3 0

2 years ago

Read 2 more answers

Find 3 consecutive numbers where the product of the smaller two numbers in 19 less than the square of the largest number?

sineoko [7]

Answer is 5, 6, & 7

x = smallest number
y = x + 1
z = x + 2

(x)(y) = z^2 - 19
(x)(x+1) = (x + 2)^2 - 19
(x^2 + x) = (x^2 + 4x + 4) - 19
x^2 + x = x^2 + 4x + 4 - 19

x^2 term drops out from both sides

x = 4x + -15
15 = 4x - x
15 = 3x
15/3 = x
x = 5
y = x + 1 = 6
z = x + 2 = 7

Confirm by substituting back in for the variables:
(x)(y) = z^2 - 19
(5)(6) = (7)^2 - 19
30 = 49 - 19
30 = 30 [OK]

8 0

2 years ago

Find the volume of the beach ball and the volume of the toy ball. How many times greater is the volume of the beach ball than th

Mariana [72]

Answers:

Volume of beach ball = 904 cubic inches
Volume of toy ball = 113 cubic inches
The beach ball is 8 times greater compared to the toy ball

===============================================

Work Shown:

Beach ball

V = volume of sphere

V = (4/3)*pi*r^3

V = (4/3)*3.14*(6)^3 .... the beach ball has diameter 12, so radius is 6

V = 904.32

V = 904 cubic inches is the approximate volume of the beach ball

------------------------

Toy ball

V = volume of sphere

V = (4/3)*pi*r^3

V = (4/3)*3.14*(3)^3 .... the toy ball has diameter 6, so radius is 3

V = 113.04

V = 113 cubic inches is the approximate volume of the toy ball

--------------------------

Divide the two volumes to find that 904/113 = 8

This means that the beach ball is 8 times greater in volume compared to the toy ball

We can say

$\text{Beach ball volume} = 8*\left(\text{toy ball volume}\right)$

4 0

2 years ago

Read 2 more answers