perplexus.info :: Just Math : 5 averages

5 averages (Posted on 2005-02-08)

With five numbers there are 5 ways to group 4 of them together. If you take the averages of each group of 4 numbers and get...

3428.5
3425.75
3398
3120.25
342.5

What are the 5 numbers?

See The Solution Submitted by GOM

Rating: 2.6667 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

partials to totals and back through the matrix

| Comment 3 of 5 |

T=A/n

f(x)=10*[f(x-1)]+x

for x=1...5, leads to 1, 12, 123, 1234, 12345.

How do you define the sequence non-recursively? Can you extract the sequence directly from the averages?

Posted by Ben Gornall on 2005-02-09 09:43:57

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