Fill in the blanks with the missing factors.(2 points)
{1, 2,
, 4, 6,
, 12,
, 21, 28, 42, 84}
To fill in the blanks with the missing factors in the sequence, we need to understand the pattern of how these numbers interrelate, if there is one. The provided numbers are: {1, 2, __, 4, 6, __, 12, __, 21, 28, 42, 84}.
At a glance, this sequence doesn't match the pattern of any classic sequence (like prime numbers, Fibonacci numbers, etc.), nor is it a sequence of multiples of a single number. However, one possibility is that this sequence represents the divisors of 84 sorted in ascending order, since all the provided numbers are factors of 84. To verify this and find the missing factors, let's list out the factors of 84:
The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
Now let's fill in the blanks in your sequence:
{1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84}
The missing factors in the blanks are 3, 7, and 14.