Question

Generate a pattern of at least 13 factions by adding 3/5 to 1/5 and then continuing to add 3/5 to each fraction circle each fraction = to a whole number write what you notice about the patter of whole numbers the 1st 2 fractions are done for you.

Answer 1

Pattern: by adding 3/5 continuously gave us a whole number at every 4th succession.

Explanation:

Adding 3/5 to 1/5

Therefore, we have:

3/5+1/5 = 4/5

3/5+4/5 = 7/5 = 1²/5

3/5+7/5 = 10/5 = 2

3/5+2 = 13/5 = 2³/5

3/5+13/5 = 16/5 = 3¹/5

3/5+16/5 = 19/5 = 3⁴/5

3/5+19/5 = 22/5 = 4²/5

3/5+22/5 = 25/5 = 5

3/5+25/5 = 28/5 = 5³/5

3/5+28/5 = 31/5 = 6¹/5

3/5+31/5 = 34/5 = 6²/5

3/5+ 34/5 = 37/5 = 7²/5

3/5+37/5 = 40/5 = 8

3/5+40/5 = 43/5 = 8³/5