All categories

2 years ago

Can someone help me? After I figure out the sequence i have to write the formula. please help.

Mathematics

1 answer:

sveta [45]2 years ago

3 0

Rewrite the fractions to have a common denominator to find the difference:

2/3 = 4/6

Difference = 4/6-5/6 = -1/6

Sequence formula = an = a1 + d(n-1)

A1 is the first term 5/6

And d = -1/6

Sequence = 5/6 -1/6(n-1)

Simplify to get an =(-n +6)/6

You might be interested in

PLEASE HELP ME.....

Virty [35]

Answer:

They would meet each other at $01 : 24$ PM.

Step-by-step explanation:

Erik took a trip to see his friend Mike who lives 308 miles away.

He left his place at 10 AM driving at 70 mph.

In 2 hours, his friend Mike left his place driving towards Erik at an average speed of 50 mph.

As Erik left his house at 10 AM driving at 70 mph and in 2 hours, his friend Mike left his place driving towards Erik at an average speed of 50 mph. It means

Erik left his place at 12:00 PM noon.

so, at 12:00 PM Erik had already traveled:

$2\times 70=140\:\:miles$

Miles left $=308-140=168\:\:miles$

Let 't' be the time when they meet

$70t\:+\:50t\:=168$

$120t=168$

$\mathrm{Divide\:both\:sides\:by\:}120$

$\frac{120t}{120}=\frac{168}{120}$

$t=\frac{7}{5}$

$t=\frac{7}{5}=1.4\:\:hours$

or $1$ hour and $24$ minutes after $12:00$ noon

i.e.

$12\:+\:1.4\:=1\:O'clock\:+\:24\:minutes$

Therefore, they would meet each other at $01 : 24$ PM.

7 0

3 years ago

Wilton collected $8.50 in dimes and quarters while cleaning his father's truck. If the number of quarters is 3 times the number

dusya [7]

Answer:

Wilton found 10 dimes while cleaning his father's truck.

Step-by-step explanation:

Given that:

Total amount collected = $8.50 = 8.50*100 = 850 cents

Let,

x be the number of dimes

y be the number of quarters

According to given statement,

10x+25y=850 Eqn 1

y = 3x Eqn 2

Putting y=3x in Eqn 1

$10x+25(3x)=850\\10x+75x=850\\85x=850$

Dividing both sides by 85

$\frac{85x}{85}=\frac{850}{85}\\x=10$

As x represents dimes, therefore, number of dimes is 10.

Hence,

Wilton found 10 dimes while cleaning his father's truck.

8 0

3 years ago

Find the slope of the line

pishuonlain [190]

Answer:

The line has a slope of Zero.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

How do I solve this equation 9-x/5=3

tatiyna

Answer:

x= -10

Step-by-step explanation:.......

4 0

2 years ago

The two lines represent the amount of water, over time in two tanks that are the same size. Which container is filling more slow

Brut [27]

B is slowly and A is filling more quickly because the amount of water increases during a smaller period of time.

6 0

2 years ago