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AURORKA [14]
3 years ago
7

In the geometric pattern below, n represents the number of blocks in the bottom row of each figure.

Mathematics
2 answers:
sattari [20]3 years ago
6 0

Answer:

f(1)=2; f(n)=f(n-1)+2n; for n >2

MrMuchimi3 years ago
4 0
Figure 1
n=1→f(n)=f(1)=1

Options 2 or 3

Figure 2
n=2→f(n)=f(2)=5

With Option 2:
f(n)=f(n-1)+2n
n=2→f(2)=f(2-1)+2(2)
f(2)=f(1)+4=1+4→f(2)=5  ok

With Option 3
f(n)=f(n-1)+n
n=2→f(2)=f(2-1)+2
f(2)=f(1)+2=1+2→f(2)=3  No

Answer: Second option: f(1)=1; f(n)=f(n-1)+2n; for n>=2




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