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2 years ago

Use the formula an = aj(r)a- to write a formula for the geometric sequence below.

Mathematics

1 answer:

GREYUIT [131]2 years ago

8 0

Answer:

$a_{n}$ = 3 $(2)^{n-1}$

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

6 ÷ 3 = 12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 2

This indicates the sequence is geometric with n th term

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

Here a₁ = 3 and r = 2 , thus

$a_{n}$ = 3 $(2)^{n-1}$

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A glassblower can produce a set of simple glasses in about 2 h. When the glassblower works with an apprentice, the job takes abo

Snowcat [4.5K]

Answer:

6 hours.

Step-by-step explanation:

Let t represent the time taken by apprentice in hours to make a set of glasses when working alone.

Part of work completed by apprentice in one hour would be $\frac{1}{t}$ .

We have been given that a glassblower can produce a set of simple glasses in about 2 hours. So part of work completed by glassblower in one hour would be $\frac{1}{2}$ .

While working together, the job takes about 1.5 hours. So part of work completed by both in one hour would be $\frac{1}{1.5}$ .

Now we will equate sum of work competed by both in hour by work completed by both working together is one hour as:

$\frac{1}{t}+\frac{1}{2}=\frac{1}{1.5}$

$\frac{1}{t}\cdot 3t+\frac{1}{2}\cdot 3t=\frac{1}{1.5}\cdot 3t$

$3+\frac{3}{2}\cdot t=\frac{3t}{1.5}$

$3+1.5\cdot t=2t$

$3+1.5t-1.5t=2t-1.5t$

$3=0.5t$

$\frac{3}{0.5}=\frac{0.5t}{0.5}$

$6=t$

Therefore, it will take 6 hours for the apprentice to make a set of glasses when working alone.

7 0

2 years ago

if you had to read for 20 hours in total and you read 20 minutes a day how many days would it take you to finish?

Goryan [66]

It takes 3 days to complete one hour of reading. So 3 x 20 = 60 days total.

6 0

2 years ago

Which expression is rational?

horrorfan [7]

Answer:

square root of 49

Step-by-step explanation:

square root of 2 is 1.41421356237

square root of 14 is 3.74165738677

square root of 49 is 7

square foot of 49 is the correct one because 6.27316543222718… keeps going and does not stop the other 2 is irrational and square root of 49 is 7 basically meaning is rational

Hope this helped! :)

May i have brainliest!

5 0

2 years ago

HELP ME TO GET THE ANSWER I MEED IT FOR A TEST

Zigmanuir [339]

Answer: 12 days

Step-by-step explanation:

4+4= 8+4= 12

3+3= 6+3= 9+3= 12

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2 years ago

Quincy deposits $400 in a new bank account that earns 4 simple interest per year. What is the total amount in the account after

Kobotan [32]

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2 years ago