2,5,14 - - 122
Difference between 5 & 2 = 3 = 3^(1)
Difference between 14 & 5 = 9 = 3^(2)
This leads one to suppose the next difference will be 3^(3) = 27
Hence 14 + 27 = 41
Similarly the next difference again will 3^(4) = 81
Hence
41 + 81 = 122 As required.
So the sequence is
2,5,14,41,122.
NB The next difference again is 3^(5) = 243
Hence 122 + 243 = 365 is the next term in the sequence.
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41
2 + 31 = 5
5 + 32 = 14
14 + 33 = 41
41 + 34 = 122
The next number would be 122 + 35 = 365.
No, 14 is a rational number.
fourteen less than three fourths of a number is negative eight find the number
14
To create a triangle, the sum of the two shorter sides must be greater than the third side.If the side of length 14 is the longest side then the missing side must be greater than 14 - 10 = 4If the missing side is the longest side then the missing side must be less than 10 + 14 = 24Thus any length that is greater than 4 and less than 24.Examples include: 16, 5, 8, 10.
Let the first number be x and the second number is 27 − x. [As the sum of both the numbers is 27] Therefore, their product = x (27 − x) It is given that the product of these numbers is 182. x (27 – x) = 182 x2 + 27x - 182 = 0 Changing the signs on both sides we get,x2 - 27x + 182 = 0 Factorizing we get , 13 and 14 are the numbers whose sum is 27 and product is 182 x2 – 13x – 14x + 182 = 0 = x(x – 13) – 14 (x – 13)= 0 = (x – 13) (x – 14) = 0 Either x – 13 = 0 or x − 14 = 0 i.e., x = 13 or x = 14 If first number = 13, then Other number = 27 − 13 = 14 If first number = 14, then Other number = 27 − 14 = 13 Therefore, the numbers are 13 and 14.