Consider the sequence of numbers: 3/8, 3/4, 1 /18, 1 1/2, 1 7/8

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.

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

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.

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