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Ne4ueva [31]
3 years ago
12

a sequence of numbers begins at 400. If the pattern increases by consecutive multiples of 5 starting with 5, then find the next

3 numbers in the sequence 400, ___, ___, ___, ...
Mathematics
1 answer:
bazaltina [42]3 years ago
8 0

Given :

A sequence of numbers begins at 400.

To Find :

If the pattern increases by consecutive multiples of 5 starting with 5, then find the next 3 numbers in the sequence 400, ___, ___, ___ .

Solution :

This is the a question of arithmetic progression .

The first term is , a = 400 .

Now , it is given that the next numbers increase by the multiples of 5 starting with 5 .

So , common difference is , d = 5 .

Now , we know , n^{th} number in A.P is given by :

a_n=a+(n-1)d

Putting value of n = 2 , 3 , 4 .

We get :

a_2=a+(2-1)d=400+5=405\\\\a_3=a+(3-1)d = 400 + (5\times 2) = 410\\\\a_4=a+(4-1)d = 400 +(5\times 3)=415

Therefore , the next 3 numbers in the sequence is 400 , 405 , 410 , 415 .

Hence , this is the required solution .

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KATRIN_1 [288]

Answer:

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Step-by-step explanation:

We know that mean is the sum of all the elements divided by the number of elements there are: m = t/n, where m is the mean, t is the total sum, and n is the number of elements.

Here, we are given the mean number of coins for all 27 + 18 = 45 children is 16, so m = 16 and n = 45. Then:

m = t/n

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This t means that the total number of coins that all the boys and girls have is 720 coins.

Now, we also know the mean number of coins for the boys only, which is 14. Since there are 27 boys, then:

m = t/n

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This t means the total number of coins all the boys have.

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7 0
3 years ago
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Answer:

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3 years ago
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Answer:

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Step-by-step explanation:

The problem gives you four sets of ordered pairs: (10, 165); (20, 192.50); (35, 233.75) and (50, 275).  Using these ordered pairs, you can either make a table, or use slope formula with two points to determine the rate of change.  For example, (192.50-165)/(20-10)= 2.75, which represents the slope or cost per person.  To find the y-intercept, or base cost to rent the boat, subtract the cost for 10 people ($27.50) from the $165 rental charge to get $137.50.  In order to find the cost for 75 people, you would plug in 75 for the variable 'x' and solve for 'y', which gives us $343.75.  Since the actual cost is different, we have to assume that there are additional fees associated with a certain number of people.  

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