Q. Type the missing numbers in this sequence:43, _____, 61, _____, 79, 88
Find Pattern: To find the missing numbers in the sequence, we need to determine the pattern. Let's look at the numbers we have: 43, 61, 79, and 88. We can start by finding the difference between the consecutive numbers that we know.Calculate the difference between 61 and 43.61−43=18
Calculate Differences: Now, let's calculate the difference between 79 and 61.79−61=18
Confirm Pattern: It seems that the sequence increases by 18 each time. To confirm this pattern, let's check the difference between 88 and 79. 88−79=9This is half of 18, which suggests that the last step might be an increase by a smaller amount. However, since we are looking for a consistent pattern, we will first assume the sequence increases by 18 each time and check if it fits.
Find First Missing Number: Let's find the first missing number by adding 18 to 43.43+18=61This matches the next number in the sequence, so our pattern is correct so far.
Find Second Missing Number: Now, let's find the second missing number by adding 18 to 61.61+18=79This matches the next number in the sequence, confirming our pattern.
Correct Mistake: However, we have made a mistake. We have already been given the number 61 in the sequence, and we should have added 18 to the first missing number instead. Let's correct this by adding 18 to the first missing number we calculated.43+18=61 (This is the number given, not the first missing number.)To find the first missing number, we should add 18 to 43 again.43+18+18=79But this is incorrect because 79 is already a number given later in the sequence. We need to find a number that fits between 43 and 61.