Question

What value should come in place of (?) in the following number series?
28, 29, 60, 183, 736, ?

• A. 2890
• B. 3685
• C. 3145
• D. 2960

Answer 1

The Correct Option is B

To find the missing number in the series, we need to determine the pattern in the sequence: 28, 29, 60, 183, 736.

1. Calculate the differences between consecutive numbers:

• 29 - 28 = 1 
• 60 - 29 = 31
• 183 - 60 = 123
• 736 - 183 = 553

2. Observe the differences: 1, 31, 123, 553

3. Calculate the differences of these differences to identify any pattern:

• 31 - 1 = 30
• 123 - 31 = 92
• 553 - 123 = 430

4. Look at the sequence 30, 92, 430. Find the pattern again:

• 92 - 30 = 62
• 430 - 92 = 338

5. Continue finding the pattern. Here, we observe:

• 62: 30 + 32
• 338: 62 + 276

It seems complex, let's attempt another approach to find a recursive relation new sequence might have instead through multiplication or factoring.

6. Notice:

• 28→ 28*1 =28+1=29
• 29→ 29*2 =58+2=60
• 60→ 60*3 =180+3=183
• 183→ 183*4 =732+4=736

Now predict the next number:

• 736→736*5=3680+5=3685.

Thus, the number that should replace (?) in the sequence is 3685.