Well for solving arithmetic sequences you have to add the numbers like for example if you had 2,4,6,8 The Common ratio would be 2 because you're constantly adding 2. Now for a geometric sequence it's a little different instead of adding the numbers you use multiplication to solve those ones so if the numbers were 4,16,64,256 the common ratio would be 4.
Now here comes the answers. For the matching :)
1. B Arithmetic, common difference is 2.
2. C Arithmetic, common difference is -4.
3. D Geometric, common ratio is 2.
4. A Geometric, common ratio is 0.5.
Hope This Helps You! Have A Wonderful Day. :)
(A) (B)
4------------------7
4------------------7
4------------------7
-------------------------
Total (A)=4+4+4=12
Total (B)=7+7+7=21
Total (A) + Total (B)=12+21=33
-------------------------
(4+7)+(4+7)+(4+7)=11+11+11=33
The right question is that the lowest altitute is 3^8 feet
You are told that the highest altitude is 3 times the lowest altitude =>
highest altitude = 3 * lowest altitude = 3 * 3^8 feet.
Now you use the ruel of mutiplication of powers with the same base: copy the base and sum the exponents => 3 * 3^8 = 3 ^(1+8) = 3^9.
Note: remember that 3 = 3^1.
Answer: 3^9 feet
Answer:
X = -2
Step-by-step explanation:
1/2 X (5X-8) = -9
multiply both sides of the equation by 2
2 X 1/2 X (5X - 8) = 2 X (-9)
1 X (5X - 8) = 2 X (-9)
Reduce the numbers with the greatest common divisor 2
5 x -8 = 2 x (-9)
5 x -8 = -18
Move constant to the right by adding its opposite to both sides
5X -8 + 8=-18 + 8
Then eliminate the opposites
5X = -18 + 8
Calculate the sum
5X = -10
Divide both sides of the equation by 5
5X DIVIDE 5 = -10 DIVIDE BY 5
X = -10 DIVIDE BY 5
X = -2
Let N be the number to find
firstly: 66 2/3 = 200/3 = 66.6666 & in % it's = 0.66666
secondly N x 0.6666= 90 then N = 90/0.6666 =135
