Answer:
Explanation:
Here, we want to get the sequence type
In an arithmetic sequence, the difference between terms is the same
For a geometric sequence, the division of a succeeding term by a preceding term would yield the term called the common ratio
Now, let us consider the differences:
This means that the sequence is not arithmetic
Now, let us test if geometric
Mathematically, we have that as:
This means that the given sequence is geometric
I can help with the 100 times as much
23; 9,625; 63; 5.6; 45; 48.3
I found these answers by dividing each by 100
Hope I helped :)
Imaginary, you cannot form the square root of a negative #
Answer:
3. MNP = OPN
Step-by-step explanation:
the second could be as well, but the sequence is the same for the third option, thus the second option is wrong
Answer:
Sister = 15 years old
Brother = 12 years old
Step-by-step explanation:
Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X
Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have
B = 3X
S = 4X
B-3 = (3/4)(S-3)
Therefore, we have a system of equations
B = (4/5)S
B-3 = (3/4)(S-3)
Substitute (4/5)S for B into the second equation to only have one variable
(4/5)S - 3 = (3/4)(S-3)
(4/5)S - 3 = (3/4)S - 9/4
add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient
(1/20)S = 3/4
multiply both sides by 20 to isolate the S
S = 15
B = (4/5)S = 12
