A piece on a game board moves forward 8 spaces on its first turn and moves backward 3 spaces on its second turn. If the pattern continues, how many turns will it take for the piece to move at least 30 spaces? Please help me!!!

It will take 8 turns

Step-by-step explanation:

11 turns

Step-by-step explanation:

A piece on a game board moves forward 8 spaces on its first turn and moves backward 3 spaces on its second turn. How many space it moves for each 2 turns?

Space it moves for each 2 turns = 8-3 = 5

The question is asking for how many turns will it take to move 30 spaces, since we know that the piece will move for 5 space each 2 turns(let's call this a cycle).  

Cycle required for 30 spaces = 30/5 = 6

At this point, many will think that the no. of turns required is 6x2 = 12, but that's not the answer! Do you still remember how the cycle works? 1st up 5, 2nd down 3! On the 11th turn, the piece actually moved for 5x5 + 8 space = 33 spaces, which is greater than 30!

∴The answer is 11 turns

0.32

step-by-step explanation:

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