Your arithmetic sequence has first term 2 and common difference 3. The rule is
![a_{n}=a_{1}+d(n-1)\\a_{n}=2+3(n-1)\\a_{n}=3n-1](https://tex.z-dn.net/?f=a_%7Bn%7D%3Da_%7B1%7D%2Bd%28n-1%29%5C%5Ca_%7Bn%7D%3D2%2B3%28n-1%29%5C%5Ca_%7Bn%7D%3D3n-1)
The graph shows the first 8 terms.
Answer:
x = 20
Step-by-step explanation:
The triangle is isosceles ( 2 congruent sides )
Hence the base angles are congruent, thus
3x = 60 ( divide both sides by 3 )
x = 20
Answer:
190 children and 150 adults
Step-by-step explanation:
1. 1.25x + 2y = 537.5
2. x + y = 340
Here, x represents the children and y represents the adults.
Again, the first equation represent the cost of tickets, while the second represents the number of people.
From the above equation, we can solve for x and y
From equation 2,
x + y = 340
x = 340 - y
Substitute for x in equation 1
1.25x + 2y = 537.5
Then,
1.25(340 - y) + 2y = 537.5
Expand the bracket
425 - 1.25y + 2y = 537.5
Collect like terms
-1.25y + 2y = 537.5 - 425
0.75y = 112.5
y = 150.
To get the value of x, substitute for y in equation 2
x + y = 340
x + 150 = 340
x = 340 - 150
x = 190
Therefore,
There were 190 children and 150 adults at the pool that day
Equations:
x + y = 26
x - y = 4
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Add to get:
2x = 30
x = 15
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Solve for "y":
x + y = 26
15 + y = 26
y = 11 (smaller number)