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Topic: **How to write a sequence in math****Question:**
Two terms of an arithmetic sequence are a8 = 76 and a28 = 296. Find a rule for the nth term.
−12 + 11n
12 + 13n
12 + 11n
−12 + 13n
Q2) Solve 3 tan x −√3 = 0.
x = π/6 + nπ
x = π/6 or x = 7π/6
x = π/6 + 2nπ
x = pm√2 or x = pm√3
Q3) Describe the pattern, write the next term, and write a rule for the nth term of the sequence 5, 5.3, 5.6, 5.9. . . What is the next term in the pattern? The next term in the pattern is
5.9
6.5
6.9
6.2
Q4) Solve 2 sin x − 1 = 0.
x =pi/6 or x= 5pi/6
x = pi/6+2npi or x = 5pi/6+2npi
x = 2npi
x = pm√2 or x = pm√3
Q5) Write 0.555. . . as a fraction in lowest terms.
5/9
6/9
7/9
8/9
Q6) Monster Trucks, A monster truck drives off a ramp in order to jump onto a row of cars. The ramp has a height of 10 feet and a horizontal length of 26 feet. What is the angle θ of the ramp? Round your answer to the nearest integer, if necessary.
θ approx24degree
θ approx22degree
θ approx21degree
θ approx23degree
Q7) Graph y = 5 sin 4x + 9. The amplitude is ?
The amplitude = 5
The amplitude = 10
The amplitude = 15
The amplitude = 20
Q8) RETAIL DISPLAYS You work in a grocery store and you are stacking apples in the shape of a square pyramid with 5 layers. How many apples are in the stack? There are apples in the stack.
55
45
35
30

April 21, 2019 / By Charlton

(1) a28 - a8 = 296-76=220. As this is an arithmetic series, this value is 20 times (28-8) the ratio, so the ratio is 220/20 = 11. So a8 = a + 11*8 and therefore 76=a+88 and a=-12. THe general form is therefore -12+11n (2) tan x = (sqrt(3))/3 so x = pi/6 + n pi (3) Every term adds 0.3 to the previous one so tn = 5 + 0.3 (n-1) and the next term is 6.2 (4) sin x = 1/2 and so x is pi/6 or pi-pi/6 = 5 pi/6 (5) 0.555... = 5 (1/10 + (1/10)^2 + (1/10)^3 + ...) = 5 (1/10) / ( 1 - 1/10) = 5/9 (6) sin θ = 10/26 so θ=22.62 degrees i.e. approximately 23 degrees (7) The amplitude is 5 (8) The total number of apples is 1+4+9+16+25 = 55

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(1) a28 - a8 = 296-76=220. As this is an arithmetic series, this value is 20 times (28-8) the ratio, so the ratio is 220/20 = 11. So a8 = a + 11*8 and therefore 76=a+88 and a=-12. THe general form is therefore -12+11n (2) tan x = (sqrt(3))/3 so x = pi/6 + n pi (3) Every term adds 0.3 to the previous one so tn = 5 + 0.3 (n-1) and the next term is 6.2 (4) sin x = 1/2 and so x is pi/6 or pi-pi/6 = 5 pi/6 (5) 0.555... = 5 (1/10 + (1/10)^2 + (1/10)^3 + ...) = 5 (1/10) / ( 1 - 1/10) = 5/9 (6) sin θ = 10/26 so θ=22.62 degrees i.e. approximately 23 degrees (7) The amplitude is 5 (8) The total number of apples is 1+4+9+16+25 = 55

a million. permit S be a series such that for each factor x of S there exists a diverse factor x' of S. 2. there is an factor in S, we will call it a million, such that for each factor x of S, a million isn't equivalent to x'. 3. If x and y are components of S such that x' = y', then x = y. 4. If M is any subset of S such that a million is an factor of M, and for each factor x of M, the factor x' is likewise an factor of M, then M = S. only as a depend of notation, we write a million' = 2, 2' = 3, etc. We define addition in S as follows: (a1) x + a million = x' (a2) x + y' = (x + y)' The factor x + y is termed the sum of x and y. Now to show that a million + a million = 2. From (a1), with x = a million, we see that a million + a million = a million' = 2.

a million. permit S be a series such that for each factor x of S there exists a diverse factor x' of S. 2. there is an factor in S, we will call it a million, such that for each factor x of S, a million isn't equivalent to x'. 3. If x and y are components of S such that x' = y', then x = y. 4. If M is any subset of S such that a million is an factor of M, and for each factor x of M, the factor x' is likewise an factor of M, then M = S. only as a depend of notation, we write a million' = 2, 2' = 3, etc. We define addition in S as follows: (a1) x + a million = x' (a2) x + y' = (x + y)' The factor x + y is termed the sum of x and y. Now to show that a million + a million = 2. From (a1), with x = a million, we see that a million + a million = a million' = 2.

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1.D(guessing) 2.ok this is easy C=2m+d u want to try to get m alone on one side c=2m+d subtract d on both sides c-d=2m now divide by two on both sides (c-d)/2=m so the answer is A 3.idk sry 4.3/7+7/3 make the denominators the same 21 is the LCM 9/21+49/21=58/21 the answer is D 5.idk sry 6. 71-22=49 49/2=24.5 im not sure if this is rite i forget wat an isoscles triangle is

4. 3/7 + 7/3 = Il faut réduire au même dénominateur 21:: 3/7= 9/21 7/3=49/21 9/21+49/21=58/21

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