We might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.
<h3>
What is a sequence?</h3>
- A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It, like a set, has members (also called elements, or terms).
- The length of the series is defined as the number of items (which could be infinite).
- Unlike a set, the same components can appear numerous times in a sequence at different points, and the order does important.
- Formally, a sequence can be defined as a function from natural numbers (the sequence's places) to the elements at each point.
- The concept of a sequence can be expanded to include an indexed family, which is defined as a function from an index set that may or may not contain integers to another set of elements.
Recursive formulas are commonly used to compute the nth term of a sequence, where a(n) is the sum of all the preceding values.
Using its position, explicit formulas can compute a(n).
Therefore, we might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.
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Step 1) turn 1.9 into an improper fraction.
= 19/10
step 2) find a least common denominator between 10 and 12.
= 60
(10x6 and 12x5)
step 3) convert the fractions so they have the same denominator.
= 19x6 is 114.
10x6= 60.
= 11x5 is 55.
12x5 is 60.
now you have your new fractions.
step 4) subtract.
= 114/60 - 55/60 is 59/60.
step 5) simplify.
the answer is either 0.9833... (3 repeating) or just 59/60 (you can't simplify the fraction any further).
Answer:
a
Step-by-step explanation:
Answer:
You can determine this by putting the rational numbers in decimal form.
Step-by-step explanation:
A rational number like 1/2 will have a terminating decimal answer = 0.5
A rational number like 7/11 will have a terminating decimal answer = 0.636 where 36 is repeating.
