Question

Use inductive reasoning to find the next three terms in the sequence 2, 20, 200, 2000.

A) 20000, 200000, 2000000.
B) 20000, 200000, 20000000.
C) 20000, 2000000, 20000000.
D) 200000, 2000000, 20000000.

Answer 1

To find the next three terms in the sequence 2, 20, 200, 2000 using inductive reasoning, we need to look for a pattern in the sequence. Each term is obtained by multiplying the previous term by 10.

Step-by-step explanation:

To find the next three terms in the sequence 2, 20, 200, 2000 using inductive reasoning, we need to look for a pattern in the sequence.

Notice that each term is obtained by multiplying the previous term by 10.

So, the next term would be obtained by multiplying 2000 by 10, which is 20000.

Following the same pattern, the next two terms would be 20000 multiplied by 10, which gives us 200000, and then 200000 multiplied by 10, which gives us 2000000.

Therefore, the next three terms in the sequence are 20000, 200000, and 2000000.