= 1455
generate a few terms of the sequence using 
= 3n + 2
= ( 3 × 1) + 2 = 5
= (3 × 2) + 2 = 8
= (3 × 3 ) + 2 = 11
= (3 × 4 ) + 2 = 14
= ( 3 × 5 ) + 2 = 17
the terms are 5, 8, 11, 14, 17
these are the terms of an arithmetic sequence
sum to n terms is calculated using 
= 
[ 2a + (n-1)d]
where a is the first term and d the common difference
d = 8 - 5 = 11 - 8 = 14 - 11 = 3 and = 5
= 
[( 2 × 5) + (29 × 3) ]
= 15( 10 + 87) = 15 × 97 = 1455
From the graph, we can say that the system can be represented by a linear function. A linear function has a standard form of:
y = mx + b where m is the slope and b is the y-intercept.
From the image, b would have a value of 48. The slope can be calculated as follows:
slope = ( 48 - 36 ) / (0 - 1) = -12
The equation can be written as:
y = -12x +48
or
12x + y = 48
Answer:
just look for the LCM of 6,8,12,9 then that will be your answer
Answer:P(win|regular) = 0.84
P(win|prevent) = 0.70
Conclusion: You are more likely to win by playing regular defense.
Step-by-step explanation:
Divide the regular defense wins(42) but the total of regular defense (50) and you get 0.84.
Then divide the prevent defense wins(35) by the total of prevent defense(50) and you get 0.70.
Since the regular defense is more than the prevent defense, then you are more likely to win by playing the regular defense. (:
The resultant force would be 88.88 N at an angle of 43 degrees from the 100 N force.
