3.
Texas Instruments technical mcq question, verified with a worked answer. Free to practise - no sign-up.
Determine value of X**
What can be used in place of X to complete the given series?
17, 24, 33, 44, X
Show answer & explanation
The series follows a pattern where the difference between consecutive terms increases by 2 for each step (an arithmetic progression of differences).
Step-by-step Derivation:
Step 1: Calculate the difference between the first and second terms: 24 - 17 = 7.
Step 2: Calculate the difference between the second and third terms: 33 - 24 = 9.
Step 3: Calculate the difference between the third and fourth terms: 44 - 33 = 11.
Step 4: Observe the pattern of differences: 7, 9, 11. This is an increasing sequence where each difference is 2 greater than the previous one.
Step 5: Determine the next difference in the sequence: 11 + 2 = 13.
Step 6: Add this difference to the last known term to find X: 44 + 13 = 57.