Answer:
1]
4*6+5*7+6*8+.....+4n(4n+2)=4(4n+1)(8n+7)/6
If we choose n=1, then 4*6=24 but 4(4*1+1)(8*1+7)/6=50. This implies that the general trm for the pattern shown is wrong. It should have been (n+3)(n+5) and not 4n(4n+2).
2] 12+42+72+.......+(3n-2)2=n(6n²-3n-1)/2
Let's set n=1, this means that 12=12.
But n(6n²-3n-1)/2
=1(6*1²-3*1-1)/2
=(6-3-1)/2
=2/2
=1
This shows that the general term is incorrect. It should have been (30n-18) which when simplified we get 6(5n-3). Even if we get to correct the left hand side the sequence will still not be equal to what's on the right given n=1.
3] 2+4+6+....+2n=n(n+1)
P(1):2=1(1+1)
P(m):2+4+6+..+2m=m(m+1)
P(m+1):2(k+1)=(k+1)(k+2)
Step-by-step explanation:
This problem is accompanied by a figure.
You can infere these relationships from the figure
(x-5)° = 74° => x = 74 + 5 = 79°
(x-5)° + 58° + (y-1)° = 180 ° => 74 + 58 + y-1 = 180 =>
y = 180 + 1 - 58 - 74 = 47°
Answer: x = 79°, y = 47°. This is the option d)
The area for a regular decagon is a bit complicated to type out, but a quick google search "decagon formula" should bring it up.
its like A= (5/2) a^2 sqrt(5+2*sqrt(5)) so yeah just google that and plug the values that they gave you in
i got 1107.97~
the perimeter is P = 10a where a is the side length. in this case it is 12. so the perimeter is 10*(12) which is 120cm.
Answer:
400h=mi
Step-by-step explanation: 400 hours = miles which is an equation above.