Puzzle 749
What number comes next in this sequence:
1 · 4 · 11 · 20 · 31 · 44 · ?
Puzzle Copyright © Kevin Stone
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Hint
A tricky base 8 question.
Answer
61.
Each term is a square expressed in base eight, 7 2=49 = 61 in base 8.
Puzzle 750
What number comes next in this sequence:
1 · 3 · 6 · 11 · 18 · ?
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Hint
The sequence is related to prime numbers.
Answer
29.
Each term increases by the next prime number.
Puzzle 751
What number comes next in this sequence:
1 · 4 · 1 · 5 · 9 · 2 · ?
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Hint
The full sequence starts with 3.
Answer
6.
These are the decimal places of π ≈ 3.1415926.
Puzzle 752
You can replace the dashes with the same four-letter word, and create two new words, one that starts with ARM, and one that ends in ING.
Can you find all possible four-letter words that work?
arm----
----ing
Puzzle Copyright © Kevin Stone
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Hint
There are 4 possible answers.
Answer
Band, load, lock, and rest, all create new words:
armband and banding
armload and loading
armlock and locking
armrest and resting
Note
Some dictionaries also allow ARMRACK, but others don't. So RACK is a unofficial possible answer.
