Después de ver todos los análisis y no entenderlos, he llegado a la siguiente conclusión y no me parece descabellada:
1ra serie: 4 5 7 11 19 35 67
relación: +1+2 +4 +8 +16 +32
nexo de la relación: multiplicar por 2, o sea, 21=2/22=4/42=8/82=16/16*2=32
por tanto sería:
Espero se entienda. Saludos Nilda
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4+1=5
5+2=7
7+4=11
11+8=19
19+16=35
35+32=67
67+64=131
n0 = 4
n1 = (n0-2) + (n0-1) = 2 + 3 = 5
n2 = (n1-2) + (n1-1) = 3 + 4 = 7
...
ni = (n - 2) + (n -1)
4-5 difference is 1
5-7 is 2
7-11 is 4
11-19 is 8
etc
The difference is multiplied by 2 each time and added to the larger number
67 7 + 4 = 11 11 + 8 = 19 19 + 16 = 35 35 + 32 = 67 67 + 64 = 131 ...
The answer is 67 because the pattern is 2x(x-1)-3 11-7 is 4 19-11 is 8 which is twice 4 35-19 is 16 which is twice 8 so the next difference is twice 16, =32 so the next number is 35+32 =67
67
One rule for this pattern is to add twice the previous value added 4 + 1 = 5 5 + 2×1 = 5 + 2 = 7 7 + 2×2 = 7 + 4 = 11 11 + 2×4 = 11 + 8 = 19 Continuing the next numbers would be: 19 + 2×8 = 19 + 16 = 35 35 + 2×16 = 35 + 32 = 67 ...
67