Answer
$2+4+8+16+32=64-2$
Work Step by Step
$2 = 4 - 2$
$2 + 4 = 8 - 2$
$2 + 4 + 8=16-2$
$2 + 4 + 8 + 16=32-2$
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.
