Answer:
7n - 1
Step-by-step explanation:
notice that the difference between adjacent terms is 7.
so nth term is given by:
nth term = first term + (n-1)×difference (n is any number)
= 6 + (n-1)7
= 6+ 7n -7
= 7n - 1
hope this helps :-))
<span>In triangle XYZ,
angle X=46 degrees,
XZ = 10 units and
YZ=8 units.
We will find the length of XY using cosine rule:
According to cosine rule:
a² = b² + c² - 2bc cosA (the figure is attached)
Here, A = 46 degree.
a = 8 units.
b <span>= ?
</span>c = 10 units.
</span>⇒ b² = c² - a² -2bc cosA
⇒ b² = 100 - 64 - 160*cos(46)
⇒ b² = 100 - 64 - 160*0.69
⇒ b² = 100 - 64 - 110.4
⇒ b² = 100 - 64 - 110.4
⇒ b² = 74.4
or b = 8.62 units.
or b = 8 untis approximately.
Answer:
The first one the slope is 0.
The second one the slope is 1/2
Answer:
40
112
2n^2 + 2n C
Step-by-step explanation:
a)The correct formula is 2n^2 + 2n
So for n =4, the answer is
2*4^2 + 2*4
2*16 + 8
32 + 8
40
b) For the seventh answer you get
2 * 7^2 + 2*7
2*49 + 14
98 + 14
112
c) The correct formula to use is
2n^2 + 2n See diagrams for the number of matchsticks to be used.
n 2n^2 + 2n
1 2*1^2 + 2*1
1 2 + 2
1 4
2 2*2^2 + 2*2
2 2* 4 + 4
2 8 + 4
2 12
3 2*3^2 + 2*3
3 18 + 6
3 24
What an extremely interesting sequence. I'll bet not one person in 100 could get this without the match stick diagrams. I'm sorry I didn't read the question more carefully.