Answer:
Step-by-step explanation:
We are given the recursive formula:
This is the recursive formula for an arithmetic sequence.
The explicit formula for an arithmetic sequence is given by:
Where d=3 is the common difference.
We plug in this values to get:
We now expand and simplify to get:
We simplify to obtain:
This algebra lesson explains geometric series<span>. ... To </span>find<span> the sum of the first n terms of a geometric sequence: Sn = the summation of ... 5 , -</span>10<span> , </span>20<span> , -</span>40<span> , 80 , .</span>
Answer:
x =7 or x = -4
Step-by-step explanation:
|2x – 3| = 11
There are two solutions to an absolute value equation, one positive and one negative
2x-3 =11 or 2x-3 = -11
Add 3 to each side
2x-3+3 = 11 +3 2x-3+3 = -11+3
2x = 14 2x = -8
Divide each side by 2
2x/2 =14/2 2x/2 = -8/2
x =7 x = -4
You go to a restaurant and your bill is $35.00. Your service was excellent so you leave a 20% tip. What was the total amount paid for the bill including the tip?
10%=$1 for every $10
15%=$1.50 for every $10
20%=2% for every $10
10% of the bill would be $3.50(move the decimal to the tens place)
15% of the bill would be $5.25( halve the 10% and add it to the original 10% tip; $3.50+$1.75)
20% of the bill would be $7.00(double the 10% tip)
Lets us start with finding the inner angles of the triangle. The bottom right angle shall be 70 degrees as it is opposite. The 100 degrees shall add together to make 200. 360-200 = 160. 160 / 2 = 80. So, Now we know bottom left angle (80) and bottom right (70). 80 + 70 = 150. In a triangle, angles add to 180 so 180 - 150 = 30. 30 = 2x which means that x = 15
15
