Ravi makes a row of figures with matchsticks…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Ravi makes a row of figures with matchsticks. Figure uses matchsticks, and each figure after it uses more than the one before. Write the numbers of matchsticks for the first four figures, and find how many figure needs.
Need a reminder? The key ideaShow
An arithmetic progression (AP) adds the same number to each term: The common difference is a term minus the term before it, and it can be positive, negative or zero. Every difference between neighbouring terms must be equal.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The first four. matchsticks: an AP with and .
Step 2. Figure 6. Two more steps after : , then .
Step 3. Check. .
Answer: ; figure needs matchsticks.
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