Question

Solve the next equation: a+1= 2, b+10= 20, c+100=100, d+1000= 2000

Answer 1

Note: I assume that the 3rd step in the sequence is "c+100=200", otherwise there is no clear answer to the question.

Answer:

e + 10000 = 20000

Explanation:

At each step, we see that every explicit number in the equation is multiplied by 10. In fact, the first equation is

a + 1 = 2

Then:

1 is multiplied by 10, becoming 10

2 is multiplied by 10, becoming 20

So the next equation is

b + 10 = 20

And so on;

the last equation we have is

d + 1000 = 2000

So to obtain the following equation, we have to multiply both numbers by 10:

`1000 \cdot 10 = 10000\\2000 \cdot 10 = 20000`

And we get

e + 10000 = 20000