Question

What is the next fraction in each of the following patterns? a. 1⁄40, 4⁄40, 9⁄40, 16⁄40, 25⁄40 . . .? b. 3⁄101, 4⁄101, 7⁄101, 11⁄101, 18⁄101, 29⁄101. . .? c. 5⁄1, 10⁄2, 9⁄2, 18⁄4, 17⁄8, 34⁄32, 33⁄256. . .? i need c i don’t understand it

Answer 1

Explanation:

a) 1⁄40, 4⁄40, 9⁄40, 16⁄40, 25⁄40

look this : 1²⁄40, 2²⁄40, 3²⁄40, 4²⁄40, 5²⁄40

the next fraction is : 6²/40 = 36/40

b) 3 ⁄101, 4⁄101, 7⁄101, 11⁄101, 18⁄101, 29⁄101. . .

look this :7/101 = (4+3)/101= 4/101 +3/101

11/101=4⁄101+ 7⁄101

the next fraction is : 18⁄101+ 29⁄101 = 47/101

c. 5⁄1, 10⁄2, 9⁄2, 18⁄4, 17⁄8, 34⁄32, 33⁄256. . .