Identify the logic behind the series 6 28 66 120 190 276.... the numbers in the series should be used to create a pyramid. the base of the pyramid will be the widest and will start converging towards the top where there will only be one element. each successive layer will have one number less than that on the layer below it. the width of the pyramid is specified by an input parameter n. in other words there will be n numbers on the bottom layer of the pyramid.
Answers
Answered by
2
Solution:-
The difference between the given consecutive numbers is 22, 38, 54, 70, 86 (derived series of numbers).
Now, the difference between the numbers in the derived series (22, 38, 54, 70, 86) is 16.
So the next number in the derived series = 86 + 16 = 102
Therefore the next number after 276 in the given series will be 276 + 102 = 378.
The pyramid construction rules are as follows:-
The first number in the series should be at the top of the pyramid.
Last N number of the series should be on the bottom-most layer of the pyramid, with Nth number being the right-most number of this layer.
The difference between the given consecutive numbers is 22, 38, 54, 70, 86 (derived series of numbers).
Now, the difference between the numbers in the derived series (22, 38, 54, 70, 86) is 16.
So the next number in the derived series = 86 + 16 = 102
Therefore the next number after 276 in the given series will be 276 + 102 = 378.
The pyramid construction rules are as follows:-
The first number in the series should be at the top of the pyramid.
Last N number of the series should be on the bottom-most layer of the pyramid, with Nth number being the right-most number of this layer.
Similar questions