predict the next two numbers in this sequence:2,6,18,54,_,_
Each number is ____ multiplied by the preceding number. What goes in that blank?
Right! So what's the next number?
162 and 486
Yes! You're right.
thanx alot
You're welcome. :-)
To determine the next two numbers in the given sequence (2, 6, 18, 54, _, _), we need to identify the pattern and extend it. Let's look at the relationship between consecutive terms:
From 2 to 6, each term is multiplied by 3 (2 * 3 = 6).
From 6 to 18, each term is multiplied by 3 (6 * 3 = 18).
From 18 to 54, each term is multiplied by 3 (18 * 3 = 54).
Based on this pattern, we can deduce that each term in the sequence is multiplied by 3. Therefore, to find the next term, we multiply the last term (54) by 3:
54 * 3 = 162
So, the next number in the sequence is 162.
Now, let's find the following number applying the same pattern. Multiply the previous term (162) by 3:
162 * 3 = 486
Therefore, the next two numbers in the sequence are 162 and 486.