ANSWERS: 4
  • 83, 102, 121. The numbers get added sideways, and taken down to a single digit. That's the key, I think. 8 + 0 equals the first number, 8. Then 27 is really 2+7 and that equals 9. 64 is 6+4 and that equals = 10. Taking it to a single digit, 1+0=1. With 8, 27, 64, the first and third are even numbers: 8 and 64. The second is an odd number, 9. Following that scheme, the next number has to equal 11, or actually 2 when added sideways, and when all is said and done. It must be odd, and must be higher than 64. 83 looks promising. 8+3=11, and 1+1=2. Our next number must equal 12, or really 3. (1+2=3) and it must be even. I like 102, but that's just me. Last, there's 13. The mystery number has to be higher than 103. (We just used 102 and 103 is too dang close.) So I chose 121. It's odd and the numbers finally add up to 4. Whew! to ptrask: yea, but I was bored and going on abou ten cups of coffee, lol. I think overthinking may have come into play, now that you mention it. (grins) It was fun anyway.
  • The sequence continues 125, 216, 343, 512, 729, 1000....the 125th number in the sequence is 1,860,867. Now you answer me this one: What are the next three numbers in the sequence 1, 4, 8, 13, 21, 30, 36.... My sister, who is a math teacher and has a masters degree in mathematics, has not been able to figure this one out yet, and I first asked it of her in 1989, the year she graduated college.
  • This is very simple: its the sequence of integers cubed, starting with 2. (2 cubed is 8, 3 cubed is 27, 4 cubed is 64). To continue the sequence, 5 cubed is 125, etc.
  • I know the cubed answer is correct, could the following pattern be used as well? 27-8=19 64-27=37 37-19=18 18+37=55 55+64=119 18+55=73 73+119=192 18+73=91 91+192=283 The pattern=8,27,64,119,192,283

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