Find a general rule for the number of line segment required to make the following patterns.
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Step-by-step explanation:
(i) 5n+1
Putting n=5, 5×5+1=25+1=26
Putting n=10, 5×10+1=50+1=51
Putting n=100, 5×100+1=500+1=501
(ii) 3n+1
Putting n=5, 3×5+1=15+1=16
Putting n=10, 3×10+1=30+1=31
Putting n=100, 3×100+1=300+1=301.
(iii) 5n+2
Putting n=5, 5×5+2=25+2=27
Putting n=10, 5×10+2=50+2=52
Putting n=100, 5×100+2=500+2=502.
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Answer:
2. a) number of line segments = 3x + 1, where x = number of pattern
b) number of line segments = 4x , where x = number of pattern
hope this will help you
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