Answer:
140
Step-by-step explanation:
The arithmetic series is 5, 7, 9, 11, ........., 23.
First u have to determine the no. of terms that can be done by using
Tₙ = [a + (n - 1)d]
Tₙ-------nth term
a---------first term
n---------no.of terms in the series
d---------common difference
here a = 5,d = 2.
let it contain n terms Tₙ= [a + (n-1)d]
Substitute Tₙ, a, and d in the equation
23 = 5 + (n - 1)2
Subtract 5 from each side.
18 = (n-1)2
Divide each side by 2
(n - 1) = 9
Add 1 to each side
n = 9 + 1 = 10
The sum of the arithmetic sequence formula: Sₙ= (n/2)[2a+(n-1)d]
Substitute Sₙ, a, n and d in the equation
Sₙ= (10/2)[2(5) + (10-1)2]
Sₙ= (5)[10 + (9)2]
Sₙ= 5[10 + 18]
Sₙ= 5[28] = 140
Therefore the sum of the arithmetic sequence is 140.
Answer:
I cant do them all for you, but essentially every equation there is an a, plug in 10 for a. Every equation with b, plug in 9 and every equation with c plug in 4. Then Solve/simplify
Step-by-step explanation:
Answer:
1) For 3 tickets, the cost is $12
2) For 5 tickets, the cost is $20
3) $28 can purchase 7 tickets
4) For 10 tickets, the cost is $40
Step-by-step explanation:
1) For 3 tickets
8 = 2
x = 3
(8 ÷ x) = (2 ÷ 3)
Cross multiply,
2x = 8 x 3
2x = 24
x = 24 ÷ 2
x = $12
Use the same principle for the other questions. Use X (or any other variable) to represent the missing value, I e. the value you are calculating.
I hope this helps.
radius = diameter/2
so 28/2=14
using 3.14 for PI
2*3.14*14 = 87.92 = 88 inches
To find the area of the circle, you will use the formula for finding area of any circle.
The radius is half the diameter.
A = pi x r^2
3.14 x 13^2
A = 530.66 square units
The area is 530.66 square units.
