Question

a) What is the number of line segments used to make one shape?
b) What is the number of line segments used to make x such shapes?
c) Find the number of line segments used to make 9 such shapes.
d) How many shapes will be formed using 100 line segments?​

Answer 1

I will answer you later ok....

Answer 2

Answer:

Answer

i) 2n+1

Taking n=5,10,100,we get

2×5+1=11

2×10+1=21

2×100+1−201

ii) 3n+1

Taking n=5,10,100,then we get

3×5+1=16

3×10+1=31

3×100+1=301

iii) 3n+2

Taking n=5,10,100,then we get

3×5+2=17

3×10+2=32

3×100+2=302

iv) 5n+1

Taking n=5,10,100,then we get

5×5+1=26

5×10+1=51

5×100+1=501

v) 5n+2

Taking n=5,10,100,then we get

5×5+2=27

5×10+2=52

5×100+2=502

vi) 4n+3

Taking n=5,10,100,then we get

4×5+3=23

5×10+3=53

5×100+3=503