To find the 20th term in this sequence, we can simply keep on adding the common difference all the way until we get up to the 20th term.
The common difference is the number that we are adding or subtracting to reach the next term in the sequence.
Notice that the difference between 15 and 12 is 3.
In other words, 12 + 3 = 15.
That 3 that we are adding is our common difference.
So we know that our first term is 12.
Now we can continue the sequence.
12 ⇒ <em>1st term</em>
15 ⇒ <em>2nd term</em>
18 ⇒ <em>3rd term</em>
21 ⇒ <em>4th term</em>
24 ⇒ <em>5th term</em>
27 ⇒ <em>6th term</em>
30 ⇒ <em>7th term</em>
33 ⇒ <em>8th term</em>
36 ⇒ <em>9th term</em>
39 ⇒ <em>10th term</em>
42 ⇒ <em>11th term</em>
45 ⇒ <em>12th term</em>
48 ⇒ <em>13th term</em>
51 ⇒ <em>14th term</em>
54 ⇒ <em>15th term</em>
57 ⇒ <em>16th term</em>
60 ⇒ <em>17th term</em>
63 ⇒ <em>18th term</em>
66 ⇒ <em>19th term</em>
<u>69 ⇒ </u><u><em>20th term</em></u>
<u><em></em></u>
This means that the 20th term of this arithemtic sequence is 69.
Answer: b
Step-by-step explanation:
In the last question, you wrote on a second equation "13x ...." kkk
Let's go:
We have to check each one answer in the following system:
x - 2y = 7
3x + 7y = 8
I can use the substituition method to solve this system...
x = 7 + 2y
3x + 7y = 8
3(7 + 2y) + 7y = 8
21 + 6y + 7y = 8
13y = 8 - 21
13y = -13
y = -1
x = 7 + 2.(-1)
x = 5
Finally, the correct answer is the second one (letter b).
w=7.5
Step-by-step explanation:
area of triangle is 6x5=30/2= 15 and then you divide 15 which 7.5
Answer:
Option C is the correct answer.
C. 5•(-20)
Step-by-step explanation:
We are told that the insurance payment for the car follows a certain pattern that can be represented through an expression. The payment is decreasing by $20 every year. As we don't know the total payment amount per period, so we cannot calculate how much is paid per period/year for insurance but we can calculate the rate at which this payment is decreasing.
Change in payment = t * (-20)
The above expressions can be used to calculate the amount of change in payment i payment is decreasing by a constant $20 every year, after t years.
So, if we want to calculate the change in payment after say 5 years, we can replace t with 5 in the equation and calculate the change,
Change in payment = 5 * (-20)
Change in payment = - $100
Answer:
-6, -1, 4, 9, and 14
Step-by-step explanation:
Just add 5 to each of them
