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:
Answer:
<h2>
Perimeter = 2x² + 16x + 6</h2><h2>
Area = 6 x² + ¹/₂x - 3</h2>
Step-by-step explanation:
The perimeter = a + b + c + d
= (6x + 4) + (2x² + 5x - 3) + (-3x - 6) + (8x + 11)
= 2x² + 16x + 6
The area = [(a + b) ÷ 2] h
= [((6x + 4) + (-3x - 6)) ÷ 2] (4x + 3)
= [(3x - 2) ÷ 2] (4x + 3)
= (³/₂x - 1) (4x + 3)
= 6 x² + ¹/₂x - 3
Answer:
2 pound bags and have a remeinder of 1/10
Step-by-step explanation:
Answer:
The new dimensions of the rectangle, after a dilation will be 72 ft by 18 ft
Step-by-step explanation:
we know that
The new dimensions of the rectangle, after a dilation will be equal to the original dimensions multiplied by the scale factor
we have
The scale factor is 9/4
Original length =32 ft
Original width=8 ft
Find the new dimensions after dilation
New length=(9/4)32=72 ft
New width=(9/4)8=18 ft
therefore
The new dimensions of the rectangle, after a dilation will be 72 ft by 18 ft