Q. Type the missing number in this sequence:1, _, 4, 8, 16
Identify Pattern: Identify the pattern in the sequence.We need to determine if the sequence is arithmetic (where each term is added or subtracted by a constant) or geometric (where each term is multiplied or divided by a constant). By looking at the sequence, we can see that each term seems to be doubling the previous term. This suggests that the sequence is geometric.
Confirm Ratio: Confirm the common ratio.To confirm that the sequence is geometric, we can divide the term after the missing number by the term before it. If the sequence is geometric, this ratio should be the same for all consecutive terms.48=2816=2The common ratio is indeed 2.
Calculate Missing Number: Calculate the missing number.Since the common ratio is 2, we can find the missing number by dividing the term after the missing number by the common ratio.4/2=2Therefore, the missing number is 2.