Complete the Sequence: Finding Missing Terms After 32, 44

Question

Complete the sequence:

32,44,,, 32,44,\ldots ,\ldots ,\ldots

Step-by-Step Solution

To solve the problem, follow these steps:

  • Step 1: Identify the given sequence terms, which are 32 and 44.
  • Step 2: Determine the difference between these two terms: 4432=12 44 - 32 = 12 .
  • Step 3: Analyze the pattern. If we increment by 12, the subsequent next step might not directly apply, so verify alternate increments nearby.
  • Step 4: Attempt possible alternate increment pathways from known sequences: Starting from 44, increment in smaller steps like 2 or 4 to maintain consistent sequence growth.
  • Step 5: Given the nature of the problem requiring increments like fives/tens, verify smaller paced increments: stepping from 44, try plausible increments like 2 2 step intervals.
  • Step 6: By this method, after 44, incrementing by 2 each time results in: 44+2=46 44 + 2 = 46 , 46+2=48 46 + 2 = 48 , 48+2=50 48 + 2 = 50 .
  • Step 7: Conclude the sequence is 32,44,46,48,50 32, 44, 46, 48, 50 .

Thus, the sequence is 32,44,46,48,50 32, 44, 46, 48, 50 .

The correct choice is:

32,44,46,48,50 32,44,46,48,50

Answer

32,44,46,48,50 32,44,46,48,50