# Find the sequence and the nth term Worksheets, Part 3

Objective: I know how to find the pattern and the nth term of a sequence with fractions.

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
For each of the following sequences:
Put parenthesis in the numerator or denominator when necessary)

a) 3/7, 4/7, 5/7, 6/7, …
Give an expression for the nth term

b) 1/5, 2/6, 3/7, 4/9, …
Give an expression for the nth term

c) 1/2, 2/3, 3/4, 4/5, …
Give an expression for the nth term

d) 1/3, 3/6, 5/9, 7/12, …
Give an expression for the nth term

e) 3/1, 4/2, 5/3, 6/4, …
Give an expression for the nth term

f) 1/2, 1/7, 1/12, 1/17, …
Give an expression for the nth term

g) 1/2, 3/5, 5/8, 7/11, 9/14, …
Give an expression for the nth term

h) 55/20, 50/16, 45/12, 40/8, 35/4
Give an expression for the nth term

i) 10/50, 30/45, 50/40, 70/35, 90/30, …
Give an expression for the nth term

j) 30/2, 27/6, 24/10, 21/14, 18/18, …
Give an expression for the nth term

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