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#81 Consecutive squares
Set by Alison Kiddle
Can you find three consecutive positive numbers such that the square of the first plus the square of the second is the square of the third?
How about five consecutive positive numbers such that the squares of the first three add to give the sum of the squares of the last two?
And can you identify seven consecutive positive numbers such that the squares of the first four add to give the sum of the squares of the last three?
Answers next week
#80 Iccanobif numbers
Solution
The first difference is the 8th term: it is 21 for the Fibonacci sequence and 39 for Iccanobif.
The two terms with four digits are the 12th (1053) and the 13th (4139).
Term 21 is the first to decrease. The 20th term, 17354310, is followed by 9735140.
Quick quiz #310
set by Corryn Wetzel
1 Which animal has the largest brain by volume?
2 Name the chemical compound known as “laughing gas”.
3 When did Apple debut its first desktop computer, the Apple 1?
4 What is another name for the vomeronasal organ?
5 Which planet has the fastest recorded wind speeds in the solar system?
Quick quiz #310
Answers
1 The sperm whale (Physeter macrocephalus)
2 Nitrous oxide (N2O)
3 1976
4 Jacobson’s organ
5 Neptune
