Q. Type the missing numbers in this sequence:34, _, 52, 61, 70, _, 88
Identify Pattern: First, let's look at the sequence to determine if there is a pattern that we can identify. We have the numbers 34, 52, 61, 70, and 88. We need to find the difference between the consecutive numbers to see if there is a consistent increase.
Calculate Difference 1: Calculate the difference between 52 and 34.52−34=18
Calculate Difference 2: Calculate the difference between 61 and 52.61−52=9This is not consistent with the previous difference. We may need to look at the differences between the other numbers to find a pattern.
Calculate Difference 3: Calculate the difference between 70 and 61. 70−61=9This is consistent with the difference between 61 and 52, suggesting that the sequence might be increasing by 9 after 52.
Calculate Difference 4: Calculate the difference between 88 and 70. 88−70=18This is consistent with the difference between 52 and 34, suggesting that the sequence might be alternating between increasing by 18 and 9.
Find Missing Number 1: Assuming the pattern of increasing by 18 and then by 9 alternately, let's find the missing number between 34 and 52. Since the sequence increased by 18 to get to 52, it should increase by 9 before that.52−9=43So, the missing number after 34 should be 43.
Find Missing Number 2: Now, let's find the missing number after 70. Since the sequence increased by 9 to get to 70, it should increase by 18 next.70+18=88So, the missing number after 70 should be 88, but we already have 88 at the end of the sequence. This indicates a mistake in our pattern assumption.