Q. Type the missing number in this sequence:5, 7, _____, 14, 19, 25, 32, 40
Identify Pattern: Identify the pattern in the sequence.Look at the differences between consecutive terms to see if there is a consistent pattern.7−5=214−7=7 (but we can't use this difference because there is a missing number before 14)19−14=525−19=632−25=740−32=8It seems that the differences are increasing by 1 each time, starting from the difference between 19 and 14.
Determine Difference: Determine the difference before the missing number. If the pattern of increasing differences by 1 holds true, then the difference before the missing number should be 4, since the difference after it is 5 (19−14=5).
Calculate Missing Number: Calculate the missing number using the identified difference.Add the difference of 4 to the previous term in the sequence to find the missing number.5+4=9The missing number should be 9.
Verify Pattern Continues: Verify the pattern continues correctly after the missing number.Now that we have proposed 9 as the missing number, let's check if the sequence continues with the correct pattern.14−9=5This fits with the increasing pattern of differences (2,4,5,6,7,8).