0
Given any set of k number it is easy to find a rule based on a polynomial of order 4+k such that the first five numbers are as listed in the question and the next k are the given numbers. That is, it is easy to find a rule so that any number can be the "next" in the sequence.
So, suppose you want the next two numbers to be (5, 15) again then you define the rule as
Un = (24n5 - 400n4 + 2460n3 - 6890n2 + 8736n - 3915)/3
The simplest polynomial rule is
Un = (20n3 - 90n2 + 160n - 75)/3
and according to that, the next three numbers are 325, 655, 1165.
Alternatively, you could go for a power sequence
Un = 5*3n-1 which implies the next three terms are 405, 1215, 3645.
An order 5 polynomial, order 3 polynomial, geometric progression (plus others). There is no objective way to choose between them.
Add your answer:
Earn +20 pts
What are the next three numbers 5 15 45 135?
Each number is three times the previous number.
What numbers when multiplied give you 135?
1 x 135, 3 x 45, 5 x 27, 9 x 15
What two numbers multiply to make 135?
To answer this question you first need to break 135 down into its prime factors: 135 = 3x3x3x5 In order to find two numbers that multiply to make 135, one of them must be a product of a certain combination of these numbers (and 1) and the other must have the rest. Therefore the possible pairs are: 1 and 135 3 and 45 5 and 27 9 and 15
Which pair of numbers has an odd product and an even sum 6 9 12 15?
Must be the 2 odd numbers, 9 & 15 (P = 135, S = 24)
What two things add to 150 but when the two numbers are subtracted equals 120?
270
What two numbers multiply to be 135 but add to be 6?
There are no such numbers but if you meant -135 then the numbers are -9 and 15
What are the next three numbers 5 15 45 135?
Each number is three times the previous number.
What is the LCM of numbers 15 and 27?
135
What numbers are divisible by 135?
Numbers such as 135, 270, 405, and other multiples of 135.
Can 7 go into 135?
No, but these numbers can: 1, 3, 5, 9, 15, 27, 45, 135.
Can 4 go into 135?
No, but these numbers can: 1, 3, 5, 9, 15, 27, 45, 135.
What times what number equals 135?
To find two numbers that multiply to 135, we need to identify the factors of 135. The factors of 135 are 1, 3, 5, 9, 15, 27, 45, and 135. So, the pairs of numbers that multiply to 135 are 1 x 135, 3 x 45, 5 x 27, and 9 x 15.
Can 75 go into 135?
No, just these numbers can: 1, 3, 5, 9, 15, 27, 45, 135.
Can 135 be divided by anything?
Yes, by these numbers: 1, 3, 5, 9, 15, 27, 45, 135,
What comes next in the sequence 5 15 45 135?
425
What do we multiply to get 135?
These numbers go evenly into 135: 1, 3, 5, 9, 15, 27, 45, 135.
What four numbers go into 135?
1, 3, 5, 9, 15, 27, 45, 135 Pick 4.
