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4 years ago

Find an explicit formula that generates a sequence whose first four terms are: 24, 36, 54, 81

Mathematics

2 answers:

Basile [38]4 years ago

7 0

7 is the right answer to the question

sattari [20]4 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

These are the first 4 terms of a geometric sequence with n th term

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

r = 36 ÷ 24 = 54 ÷ 36 = 81 ÷ 54 = 1.5 and a₁ = 24, hence

$a_{n}$ = 24 $(1.5)^{n-1}$ ← explicit formula

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Write the sign of the answer. +17 - 21 =

Irina-Kira [14]

Answer:

-4

Step-by-step explanation:

that is if +17 means Positive 17.

8 0

3 years ago

James works in a flower shop he will put 36 tulips in vases for a wedding he must use the same number of tulips in each vase how

cupoosta [38]

Okay, so this is just like division. What you have to do is figure out, "If there are 36 flowers, how many vases should their be?" Study the 36 for a minute and think of a number that can be multiplied by the same number that would equal 36. (hint: it's between 2 and 7) Good luck!

4 0

3 years ago

James is 8 years old. Last year, his father was 4 times as old as he was. In how many years' time will their combined age be 51?

Snowcat [4.5K]

Last year He was 7 years old.

His father is 4 times the age 7 x 4 = 28

Last year his dad was 28, so this year he is 29.

Combined age this year = 29 + 8 = 37

51 - 37 = 14 years

14/ 2 people = 7 years

8 + 7 = 15

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15 + 36 = 51

It will take 7 years.

7 0

3 years ago

Left on together, the cold and hot water faucets of a certain bathtub take 5 minutes to fill the tub. If it takes the hot water

mario62 [17]

Answer:

$\frac{15}{2}=7.5$ minutes.

Step-by-step explanation:

Let t represent time taken by cold water faucet in minutes to fill the tub.

Part of tub filled by cold water faucet in one minute would be $\frac{1}{t}$ .

We have been given that it takes the hot water faucet 15 minutes to fill the tub by itself, so art of tub filled by hot water faucet in one minute would be $\frac{1}{15}$ .

We are also told that left on together, the cold and hot water faucets of a certain bathtub take 5 minutes to fill the tub, so part of tub filled by both faucets in one minute would be $\frac{1}{5}$ .