Question:
Consider the sequence of numbers:
Which statement is a description of the sequence?
(A) The sequence is recursive, where each term is 1/4 greater than its preceding term.
(B) The sequence is recursive and can be represented by the function
f(n + 1) = f(n) + 3/8 .
(C) The sequence is arithmetic, where each pair of terms has a constant difference of 3/4 .
(D) The sequence is arithmetic and can be represented by the function
f(n + 1) = f(n)3/8.
Answer:
Option B:
The sequence is recursive and can be represented by the function
Explanation:
A sequence of numbers are
Let us first change mixed fraction into improper fraction.
To find the pattern of the sequence.
To find the common difference between the sequence of numbers.
Therefore, the common difference of the sequence is 3.
That means each term is obtained by adding to the previous term.
Hence, the sequence is recursive and can be represented by the function
The correct option is B. Distributive property
Given,
On solving the above equation,
multiplying both sides by 3 we, get
now subtracting 21 from both the sides,
dividing both the sides by 2 we get,
Since in the above steps we follow all the giving property except the distributive property.
Hence the correct option is B. Distributive property.
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Time =
The distance the bag will travel is 5 meters, and the speed it is traveling at is 1 m/s. Plug these into the formula for time.
= 5 s
5/1 = 5 and the m (meters) cancel out, so you are left with s, seconds.
It will take the bag
5 seconds to travel across the floor.