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Blababa [14]
3 years ago
13

Help with this pleaseee​

Mathematics
1 answer:
Savatey [412]3 years ago
3 0

Answer:

Sum of 100 terms of the sequence = 15050

Step-by-step explanation:

Given expression which represents a sequence is,

\sum_{r=1}^{100}(3r-1)

So the sequence will be,

2, 5, 8, 11, 14..........

So, the given sequence is an arithmetic sequence with,

First term of the sequence 'a' = 2

Common difference 'd' = 5 - 2 = 3

Sum of 'n' terms of an arithmetic sequence is given by,

S_n=\frac{n}{2}[2a+(n-1)d]

Here, n = number of terms

a = first term

d = common difference

S_{100} = \frac{100}{2}[2(2)+(100-1)(3)]

      = 50[4 + 297]

      = 15050

Therefore, sum of 100 terms of the sequence = 15050  

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find the consecutive even integers such that three times the larger number is 30 more than the smaller one. help :')
Minchanka [31]

Answer:

12 and 14

Step-by-step explanation:

Let the even integers be x and x+2

three times the larger number is expressed as 3(x+2)

30 more than the smaller one is x + 30

Equating both expressions

3(x+2) = x +30

Find x

3x+6 = x+30

3x-x = 30-6

2x = 24

x = 12

The second integer is 12+2 = 14

Hence the required integers are 12 and 14

4 0
3 years ago
Mary bath 14 gallons of gasoline at $1.19 a gallon and 3 gallons of oil at $2.25 per gallon how much did she spend?
BigorU [14]

Mary bought 14 gallons of gasoline at $1.19 a gallon and 3 gallons of oil at $2.25 per gallon how much did she spend?

To find how much Mary spent, simply multiply the total cost per gallon with the total amount of gallons spent.


Let's start off with: Mary bought 14 gallons of gasoline at $1.19 a gallon

Gallons bought x price per gallon = total amount of money spent on the gallons

14 (gallons) x $1.19 (per gallon) = $16.66 (total cost of 14 gallons)


Next step, Mary buys 3 gallons of oil at $2.25 per gallon, we do the exact same steps above.

Gallons bought x price per gallon = total amount of money spent on the gallons

3 (gallons) x $2.25 (per gallon) = $6.75 (total cost of 3 gallons)


Now, be sure to remember those 2 number (I've bolded it for you so you could see how to get it and where it is if you need to go back and look at the problem)

Now, we want to find the total amount in dollars Mary had spent on gasoline. Simply add the two total cost of gallons (14 gallons + 3 gallons solution)

Remember the bolded parts? Those come in handy right about now: simply add them together.

$16.66 (total cost of 14 gallons) + $6.75 (total cost of 3 gallons) = $23.41 (total amount of money Mary spent on gasoline)

3 0
4 years ago
Read 2 more answers
the area of rectangular park is 3/5 square mile, the length of the park is 7/8 mile,what is the width of the park
Luba_88 [7]
Area=LengthxWidth so 3/5=7/8xWidth. To get width by itself you must divide both sides by 7/8. When dividing fractions you can flip the fraction and multiply so multiply (3/5)(8/7). To do this just multiply the numerators and denominators to get 24/35 so width = 24/35
8 0
4 years ago
Can somebody help me plz
kap26 [50]
25.05 I would think mean .05 is the change and if there is not a month cost than it would not double
5 0
4 years ago
What is -2 + 7x = 12
8090 [49]

Answer:

easy the answer is

Step-by-step explanation:

-2 + 7x = 12

+2 +2

7x + 14

14 / 7x = 2

5 0
3 years ago
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