## Thinking Mathematically (6th Edition)

$2+4+8+16+32=64-2$
$2 = 4 - 2$ $2 + 4 = 8 - 2$ $2 + 4 + 8=16-2$ $2 + 4 + 8 + 16=32-2$ Using inductive reasoning, we can see that: Every next row has the same numbers on the left plus another to the right and is equal to the one on the left times two. Every next row has a number on the right that is twice the size of the one in the last row and has a “– 2” written next to it. This means that the next line is: $2+4+8+16+32=64-2$ To check if this is true, we perform the arithmetic: $2+4+8+16+32=62$ $64-2=62$ The equation is true.