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3 years ago

Find the explicit formula for the given sequence. 4, 24, 144,864, ....

Mathematics

2 answers:

Brums [2.3K]3 years ago

5 0

Answer:

x * 6

Step-by-step explanation:

4 * 6 = 24

24 * 6 = 144

144 * 6 = 864

inna [77]3 years ago

3 0

Answer:

$a_{n}$ = 4 $(6)^{n-1}$

Step-by-step explanation:

Note the terms in the sequence have a common ratio, that is

r = 24÷ 4 = 144÷ 24 = 864 ÷ 144 = 6

This indicates the sequence is geometric with n th term

$a_{n}$ = a $(r)^{n-1}$

where a is the first term and r the common ratio

Here a = 4 and r = 6, thus

$a_{n}$ = 4 $(6)^{n-1}$ ← explicit formula

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which expression represents the amount of money john has collected? john collects $5 for club dues from each member.

Verdich [7]

5.00x (number of people)

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4 years ago

How many positive integers are between 3/2 and 21/4 ?<br> A : 2<br> B : 3<br> C : 4<br> D : 5

kvasek [131]

Answer:

4 integers

Step-by-step explanation:

We are given with two fractions

3/2 = 1.5 and 21/4 = 5.25

Let us draw a number line first and then we plot these two numbers on them.

Please refer to the picture attached. Here we see the number line in black line , where the integers are starting with 0. We have plotted the numbers 1.5 and 5.25 in red.

We are asked to determine the number of integers that lies between 1.5 and 5.25.

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Hence our answer is 4 integer

5 0

4 years ago

Petra randomly selects a card from a standard deck of 52 playing cards. What is the percent probability that the card shows a re

Paha777 [63]

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7 0

3 years ago

61×25 i hope this help with the problem

Oxana [17]

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3 years ago

A plane flies from NY to Chicago, which is about 700 miles, at a speed of 330 mph. How long does the flight take? On a return tr

sashaice [31]

Answer:

Flight takes 2.12 hrs from NY to chicago

The tailwind speed was x = 143.4 mph

Step-by-step explanation:

Given:-

- The distance from NY to Chicago, d = 700 miles

- The speed of plane, vo = 330 mph

- The speed of tailwind = x

- The total time for round trip T = 3.7 hrs

Find:-

How long does the flight take?

how fast is the tailwind?

Solution:-

- The total time "T" of the round-trip consists of time taken "t1" for journey from NY to Chicago and time taken "t2" from Chicago to NY.

- Time taken from NY to Chicago (t1) = d / vo

= 700 / 330

= 2.1212 hrs

- Whereas, the time time taken (t2) on return journey from Chicago to NY with the help of tailwind with speed x was:

- Time taken from Chicago to NY (t2) = d / (vo+x)

- The total time taken for round-trip = T

- We will sum individual times "t1" and "t2" and equate to "T"

2.1212 + 700 / ( 300 + x ) = 3.7

- Re-arrange and solve for x:

700 = (3.7 - 2.1212)*(300 + x )

700 = 473.6364 + 1.5788x

x = 226.3636/1.5788

x = 143.38 mph

4 0

4 years ago