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BrainTwister #43: Consecutive sums

Can you solve this week’s logic puzzle? Plus our quick quiz and the answer to last week’s problem

23 October 2024

#43 Consecutive sums

set by Katie Steckles

Consecutive numbers are ones that follow on from each other in order, like 2, 3, 4 and 5. We can create certain numbers by adding together runs of consecutive numbers, e.g. 1 + 2 + 3 = 6 or 14 + 15 = 29.

Can you write 14 as a sum of two or more consecutive positive numbers?

Which numbers below 20 cannot be written in this way, and is there a pattern?

Solution next week

#42 Persistence

Solution

The persistence of 77 is 4 and its root is 8: 77⭢49⭢36⭢18⭢8.

The smallest number…

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