1, 1, 2, 2, 3, 4, 4, 8, 5, 16, 6, 32,...
What is the next 2 numbers
and what is the pattern (no need to make a formula)
all the odd position numbers are simply the counting numbers, 1,2,3, ...
while all the even position numbers are the powers of 2, 2^0, 2^1, 2^2, ...
The next two numbers in the sequence are 10 and 64. As for the pattern, it seems like every even term is the previous term multiplied by 2, and every odd term is the previous term plus 1. So, it's like a mix between a multiplying clown and an adding clown!
The next two numbers in the given sequence are 10 and 64.
The pattern in this sequence is as follows:
- The first number is always 1.
- The second number is always the same as the first number.
- Then, the next two numbers are formed by doubling the previous number in the sequence.
- After that, the fifth number is formed by adding 1 to the previous number.
- The sixth number is formed by multiplying the previous number by 2.
- This pattern of alternating between doubling and increasing by 1 continues throughout the sequence.
To find the next two numbers in the sequence, let's try to identify the pattern:
Looking at the sequence, we can notice that there is a repetition of numbers. Each number appears twice, except for the unique numbers in the beginning (1, 2, 3, 4, 5, 6) and the last number (32).
If we split the sequence into two groups, the repetition becomes clearer. The first group consists of the numbers that appear once: 1, 2, 3, 4, 5, 6. The second group consists of the numbers that appear twice: 1, 2, 4, 8, 16, 32.
Now, let's analyze the second group. If we observe closely, each number in this group is double the previous number. Starting with 1, we double it to get 2. Then, we double 2 to get 4, double 4 to get 8, and so on.
So, the pattern for the second group is that each number is double the previous number.
Now, let's find the next two numbers by following the pattern. If we double 32, we get 64. Therefore, the next number in the sequence is 64.
To find the next number after 64, we need to consider the first group. Looking at the first group (1, 2, 3, 4, 5, 6), we can see that it is increasing by 1 each time. Therefore, the next number after 6 would be 7.
Hence, the next two numbers in the sequence are 64 and 7.