Question

PLEASE HELP ME ID REALLY APPRECIATE IT:)

Consider the sequence of numbers: 3/8, 3/4, 1 1/8, 1 1/2, 1 7/8
Which statement is a description of the sequence?

The sequence is recursive, where each term is 1/4 greater than its preceding term.
The sequence is recursive and can be represented by the function f(n + 1) = f(n) + 3/8 .
The sequence is arithmetic, where each pair of terms has a constant difference of 3/4 .
The sequence is arithmetic and can be represented by the function f(n + 1) = f(n)3/8.

Answer 1

Each term is formed from the last by adding 3/8

The second option is correct

Answer 2

Option B is correct

Explanation:

Given is a sequence of numbers

3/8, 3/4, 1 1/8, 1 1/2, 1 7/8

To find the pattern we can find difference or quotient first

Differences are:

3/8, 3/8, 3/8...

Thus we find that there is a common difference of 3/8

i.e. each term is got by adding 3/8 to the preceding term.

Hence this is an arithmetic sequence with I term 3/8 and common difference also 3/8

Correct answer is option B