Hi everyone, so I got stuck with this problem since yesterday, and you know how you hate being stuck and just can't figure it out by yourself!
So I decided to ask for help! I know it's really easy for most of you but please help because I am new to maths.
Okay, as you can see there are equilateral triangles( if you can't see please click the pic)
Question:
Given that the area of the nth figure of the above sequences is An and the total length of the figure is Pn.
Express A5, P5 of the above sequence in terms of a,b.
The answer is A5=25a P5= 45b.
I know how to get to A5. ( 1, 4, 9 .... an=n2)
But whereas the P5, I don’t get it.
Is it count how many sides does P have?
P1=3
P2=9
P3=18
....
P5=45
I couldn’t come up with a formula for Pn , because it seems to me that the 45 cannot divide by 3.
So I decided to ask for help! I know it's really easy for most of you but please help because I am new to maths.
Okay, as you can see there are equilateral triangles( if you can't see please click the pic)
Question:
Given that the area of the nth figure of the above sequences is An and the total length of the figure is Pn.
Express A5, P5 of the above sequence in terms of a,b.
The answer is A5=25a P5= 45b.
I know how to get to A5. ( 1, 4, 9 .... an=n2)
But whereas the P5, I don’t get it.
Is it count how many sides does P have?
P1=3
P2=9
P3=18
....
P5=45
I couldn’t come up with a formula for Pn , because it seems to me that the 45 cannot divide by 3.