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zlopas [31]
3 years ago
10

The first term of a geometric sequence is −2 and the common ratio is 3. What is the fourth term of the sequence?

Mathematics
1 answer:
Elden [556K]3 years ago
6 0

Answer:

Step-by-step explanation:

The formula for a geometric sequence is

a_n=a_1*r^{n-1} where n is the position in the sequence, a1 is the first number in the sequence, and r is the common ratio. For us, a1 = -2 and r = 3, n = the 4th term:

a_4=-2*3^{4-1} and

a_4=-2*3^3 and

a_4=-2*27 so

a_4=-54

The 4th term in the geometric sequence is -54.

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The lengths of the sides of a triangle are in the ratio of 6:6:5. The perimeter of the triangle
Oliga [24]

Hello!

Answer:

12 cm, 12 cm, 10 cm.

Step-by-step explanation:

Given:

Perimeter, or P = 34 cm

Ratio of sides = 6 : 6 : 5

To find the length of each side, we can use a variable in the ratio to find the perimeter:

34 = 6x + 6x + 5x

Combine like terms:

34 = 17x

Solve for x:

34/17 = 17x/17; x = 2

Plug in this value of "x" into each expression for the side-lengths:

6(2) = 12 cm

6(2) = 12 cm

5(2) = 10 cm

Therefore, the lengths of each side of the triangle are 12 cm, 12 cm, 10 cm.

Hope this helped you! :)

4 0
3 years ago
Read 2 more answers
Jerome wants to rent a rowboat to go fishing at the lake. The cost of the rental can be represented by the equation y=18x, where
lianna [129]

The cost per hour for renting the boat is $18 per hour.

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the total cost for renting the boat for x hours.

Given the equation:

y = 18x

Therefore the cost per hour for renting the boat is $18 per hour.

Find out more at: brainly.com/question/21835898

7 0
2 years ago
Need help with the composition of functions. I have attached a screenshot of the question.
Salsk061 [2.6K]

Answer:

(f∘f)(x) = x⁴ -12x² +30

(g∘g)(x) = x/9

Step-by-step explanation:

a) (f∘f)(x) = f(f(x)) = f(x² -6)

... = (x² -6)² -6

... = x⁴ -12x² +36 -6

... (f∘f)(x) = x⁴ -12x² +30

b) (g∘g)(x) = g(g(x)) = g(x/3)

... = (x/3)/3

... (g∘g)(x) = x/9

7 0
3 years ago
6th grade math, help pleasee:)
Kamila [148]

Answer: a) v=12 feet

b) 1: 12

2: 24

3: 36

4: 48

Step-by-step explanation:

A) v=d/t

They give you 60 feet, which can be plugged in for d (distance), and 5 seconds which can be plugged into t (time).

So, v=60/5=12

B) Kendall runs 12 feet per second, so in the chart:

1 sec x 12 feet = 12 feet

2 sec x 12 feet = 24 feet

3 sec x 12 feet = 36 feet

4 sec x 12 feet = 48 feet

7 0
3 years ago
Eric and Simon each go for a morning jog before work. Eric's jogging
frez [133]

Answer:

Simons pace is 2 more miles per hour more than eric's.

Step-by-step explanation:

3 0
3 years ago
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