0
Given the sequence 2, 10, 26, 50, 82, ...
We can look at the differences between these numbers:
2 + 8 = 10
10 + 16 = 26
23 + 24 = 50
50 + 32 = 82
and can see that this sequence increments by a value which starts at 2, and itself increments by eight. This means we can describe this sequence with this function:
x
f(x) = 2 + 8∑x
0
f(x) = 2 + 8( x(x + 1) / 2)
f(x) = 2 + 4(x2 + x)
f(x) = 4x2 + 4x + 2
f(x) = 2(2x2 + 2x + 1)
The next value in the sequence then would be:
f(5) = 2(2 * 52 + 2 * 5 + 1)
= 2(50 + 10 + 1)
= 2 * 61
= 122
What else can I help you with?
Next number in the series 7 11 19 35?
59 is the next number in this series.
What should be the next number in the following series 364758?
To find the next number in the series 364758, we can look for a pattern. Observing the digits, it appears that the series alternates between increasing and decreasing sequences. After 8, the next logical number could be 9, following the pattern of increasing by 1. Therefore, the next number in the series may be 9.
What number comes next in this series 192967?
One number does not make a sequence (nor a series).
What is the next number in series 1392781?
243
What is the next number in the series 93-116- 209-325-534- 859?
The next number is 1112.
