Use a difference table to predict the next term in the sequence:
1, 14, 51, 124, 245, 426
Answers
Answer:
In mathematics, a stella octangula number is a figurate number based on the stella octangula, ... The sequence of stella octangula numbers is. 0, 1, 14, 51, 124, 245, 426, 679, 1016, 1449, 1990, ... (sequence A007588 ...
ANSWER : 1, 14, 51, 124, 245, 426, 679
STEP BY STEP ANSWER :
As it is given that we have to use a difference table to predict the next term in the sequence.
Given sequence is 1, 14, 51, 124, 245, 426, x
Suppose, x be the next term in the sequence which we have to find.
Let us calculate the difference between the given numbers, we get
14-1 = 13 (difference between first and second number): 13-1 = 12 (difference between difference calculated previously and the first term in the sequence)
In this manner, we have to calculate the difference in order to get the next term.
51-14 = 37 ; 37-14 = 24
124-51 = 73 ; 73-37= 36
245-124 = 121 ; 121-73 = 48
426-245 = 181 ; 181-121 = 60
now, last numbers are the multiples of 12.
In this manner, the next number will be 72.
So, add 72+181 = 253.
It means that the sum of 253 and 426 will be the value of x.
∴ 426+253 = 679