rasv3491
13.07.2019 •
Mathematics
Missing number in the series 9, 6561, 43046721 is: 81 25 62 31 18 9. one number is 2 more than 3 times another. their sum is 22. find the numbers. 8, 14 5, 17 2, 20 4, 18 10, 12 10. the missing number in the series 1, 4, 3125 is: 81 35 729 256 115 11. the next number in the series 3, 4, 6, 7, 9, 10 is: 12 11 15 17 13 12. a farmer is planting a straight row of crops with 3 feet between each plant. if 23 are planted, what is the distance between the first and last plant? 72 66 69 63 75
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Ответ:
Alright, lets get started.
Missing number fom the series : 9, ..... , 6561, 43046721
43046721 is square of its previous number 6561, means
It means the missing number will be square of its previous number
Means , so missing number is 81. : Answer
Next : one number is 2 more than 3 times another. their sum is 22. find the numbers.
Suppose one number is x and second number is y
As per given equation, ......equation (1)
Their sum is 22 means, .......equation (2)
Putting the value of x from equation1 into equation 2
Subtracting 2 in both sides
Means numbers are 17 and 5. : Answer
Next : the missing number in the series 1, 4, 27,____, 3125 is
1 could be written as 1
4 could be written as
27 could be written as
So , next number would be
Next one is
So, the missing number is 256 : Answer
Next : the next number in the series 3, 4, 6, 7, 9, 10 is
After 3,4 (5) is mising, 6, 7 (8) is missing, 9, 10 (11) will be missing
So, next number will be 12. : Answer
Next : a farmer is planting a straight row of crops with 3 feet between each plant. if 23 are planted, what is the distance between the first and last plant?
Between 2 plants, the distance is =
Between 3 plants, the distance is =
So, between 23 plants, the distance is =
hene the distance between first and last plant woule be 66 feet. : Answer
Ответ:
The answers for each of the given question on series are;
A) 81
B) 5
C) 256
D) 12
E) 69
A) We are given the series;9, , 6561, 43046721
From this series, we can tell that;
First number is 9¹, third number is 81² and fourth number is 6561².
Thus,missing number is 81
B) 2 more than 3 times another. their sum is 22.Let the number be x. Thus;
3x + 2 + x = 22
4x = 22 - 2
4x = 20
x = 20/4
x = 5
C) We have the series;1, 4, 27,, 3125.
First number is 1¹
Second number is 2²
Third number is 3³
Fifth number is 5^(5)
Thus;
Missing number is 4⁴ = 256
D) We are given the series;3, 4, 6, 7, 9, 10,...
Difference is alternating as;
+1, +2, +1, +2, +1, +2
Thus,next number is 10 + 2 = 12
E) distance between each plant = 3 ft.23 plants are planted. Thus;
Distance between first and last plant = 3 × 23 = 69 ft
Read more about arithmetic sequence at; link
Ответ:
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