# Identify the Sequence 2 , 1 3/5 , 1 1/5 , ,
Convert to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
Write as a fraction with a common denominator.
Combine the numerators over the common denominator.
Convert to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
Write as a fraction with a common denominator.
Combine the numerators over the common denominator.
This is an arithmetic sequence since there is a common difference between each term. In this case, adding to the previous term in the sequence gives the next term. In other words, .
Arithmetic Sequence:
This is the formula of an arithmetic sequence.
Substitute in the values of and .
Simplify each term.
Apply the distributive property.
Combine and .
Multiply .
Multiply by .
Multiply by .
Move to the left of .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .