Respuesta :
Answer:
3001
Step-by-step explanation:
Let's say in general you want "n" adjacent squares. Each one needs a top, so that's n toothpicks. Each one needs a bottom, so that's another n toothpicks, and we're up to 2n total. You need one on the far left, and one on the far right, which brings us up to 2n + 2 toothpicks. Now we need to worry about the middle ones. But notice that you don't need n toothpicks for the interior because adjacent squares share. It turns out that you only need n-1. That brings us up to a grand total of 3n + 1 toothpicks, which would be 3001 for n = 1000.
Hope this helped!
Answer:Consider the given toothpick figures.
The perimeter of Figure 1 =
4
toothpicks.
The perimeter of Figure 2 =
10
toothpicks.
The perimeter of Figure 3 =
16
toothpicks.
Write a recursive formula for the perimeter of the nth figure.
an = an – 1 + 6 where a1 = 4
an = n2 where a1 = 1
an = an – 1 + 9 where a1 = 4
Step-by-step explanation:
its 4, 10, 16
and then A
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