<span>1. Divide the top of the fraction by the bottom
<span>2. Then multiply the result by 100 and read off the answer!
</span></span>
The appropriate descriptors of geometric sequences are ...
... B) Geometric sequences have a common ratio between terms.
... D) Geometric sequences are restricted to the domain of natural numbers.
_____
The sequences may increase, decrease, or alternate between increasing and decreasing.
If the first term is zero, then all terms are zero—not a very interesting sequence. Since division by zero is undefined, the common ration of such a sequence would be undefined.
There are some sequences that have a common difference between particular pairs of terms. However, a sequence that has the same difference between all adjacent pairs of terms is called an <em>arithmetic sequence</em>, not a geometric sequence.
Any sequence has terms numbered by the counting numbers: term 1, term 2, term 3, and so on. Hence the domain is those natural numbers. The relation describing a geometric sequence is an exponential relation. It can be evaluated for values of the independent variable that are not natural numbers, but now we're talking exponential function, not geometric sequence.
Answer: he has 32 quarters and 17 nickels.
Step-by-step explanation:
The worth of a quarter is 25 cents. Converting to dollars, it becomes
25/100 = $0.25
The worth of a nickel is 5 cents. Converting to dollars, it becomes
5/100 = $0.05
Let x represent the number of quarters that he has in her wallet.
Let y represent the number of nickels that she has in her wallet.
He has 49 coins total. This means that
x + y = 49
the total value of the coins is $8.85. This means that
0.25x + 0.05y = 8.85 - - - - - - - - - - 1
Substituting x = 49 - y into equation 1, it becomes
0.25(49 - y) + 0.05y = 8.85
12.25 - 0.25y + 0.05y = 8.85
- 0.25y + 0.05y = 8.85 - 12.25
0.2y = 3.4
y = 3.4/0.2
y = 17
x = 49 - y = 49 - 17
x = 32
Answer:
2.57 x 10^1
is the scientific notation of 25.7