Observe the number of blocks needed to build each succeeding figure 4 1 2 3 1. How many blocks will be needed to build the 5th figure? 6th figure? 7th figure? 2. What pattern do you see? 3. How many blocks will be needed to build the nth figure??
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A pattern is a design or arrangement that repeats continuously. Let us identify the rule of the pattern of changing figures
Did you observe the pattern in the above figure? Observing the pattern we can find the rule for given pattern. The figures show the total of the numbers up to “n”.
In the first figure, we can see that there are three dots. The 1st layer has = 1 + 2 = 3 dots
In the second figure, we can see that there are six dots. The 2nd layer has = 1 + 2 + 3= 6 dots
The third figure shows six layers and has = 1 + 2 + 3 + 4 = 10 dots
In the last figure, we can see four layers and the total numbers of dots are = 1 + 2 + 3 + 4 + 5 = 15 dots
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