High School

What is the next fraction in this sequence? Simplify your answer.

\[ \frac{13}{15}, \frac{11}{15}, \frac{3}{5}, \frac{7}{15}, \ldots \]

Answer :

The next fraction term in the sequence which is the 5th term will be 1/3.

What is an arithmetic sequence?

Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The sequence is given below.

13/15 , 11/15, 3/5, 7/15 , ....

The first term is 13/15 and the common difference will be

d = 11/15 - 13/15

d = - 2/15

Then the next fraction term in the sequence that is 5th term will be

a₅ = 13/15 + (5 - 1) x (-2/15)

a₅ = 13/15 - 8/15

a₅ = 5 / 15

a₅ = 1/3

The next fraction term in the sequence which is the 5th term will be 1/3.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

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