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25 votes
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What will stage 10 look like? How do you know? Sketch it. Describe it.You can enter a text box to describe it.

What will stage 10 look like? How do you know? Sketch it. Describe it.You can enter-example-1
User Sumukh
by
3.2k points

1 Answer

15 votes
15 votes

We have a pyramid that follows a certain pattern.

The first stage have 3 blocks in the base and a maximum height, at the center, of 2 blocks.

The second stage adds two blocks in the base (a total of 5 blocks) and add one in height (a total of 3).

The same happens for stage three, so we can write this as:

Stage 2 (n=2):

Base: 3+2 = 3+2*(2-1) = 5

Height: 2+1 = 2+(2-1) = 3

Stage 3 (n=3):

Base: 3+2+2= 3+2*(3-1) = 7

Height: 2+1+1 = 2+(3-1) = 4

Stage n:

Base: 3+2(n-1) = 3+2n-2 =1+2n

Height: 2+(n-1) = 2+n-1 = 1+n

Then, at stage 10 (n=10), we will have:

Base: 1+2n = 1+2(10) = 1+20 = 21

Height: 1+n = 1+10 = 11

User Waqas Shahid
by
2.8k points
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