Verbal Reasoning - Series Completion - Discussion

Discussion Forum : Series Completion - Section 1 (Q.No. 14)
Directions to Solve

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.


14.
6, 12, 21, ?, 48
33
38
40
45
Answer: Option
Explanation:

The pattern is + 6, + 9, + 12, + 15, .....

So, missing term = 21 + 12 = 33.

Discussion:
6 comments Page 1 of 1.

Eva said:   1 decade ago
2*3=6
4*3=12
7*3=21
11*3=33
16*3=48
22*3=66
Gap between the first term is 2, 2+2=4, 4+3=7, 7+4=11, 11+5=16, 16+6=22...

Meharun said:   1 decade ago
I couldn't understood clearly please explain as soon as possible.

Tarkeshwar said:   1 decade ago
6+6 = 12.
12+9 = 21.
21+12 = 33.
33+15 = 48.
(4)

Chaitanya said:   10 years ago
Hi @Eva.

How it come 2, 2+2 = 4 after that you suddenly taken 4+3, I couldn't understand properly could you please explain it again.

Saikrishna said:   5 years ago
How 15 came? Please explain.

Mighty raju said:   9 months ago
To solve this sequence, let’s identify the pattern between the numbers:

1. **6 to 12:** The difference is \( 12 - 6 = 6 \).
2. **12 to 21:** The difference is \( 21 - 12 = 9 \).
3. **21 to ?:** The difference increases by 3 each time, so the next difference is \( 9 + 3 = 12 \).
- \( 21 + 12 = 33 \).
4. **33 to 48:** The difference is \( 48 - 33 = 15 \), confirming the increasing difference pattern (\( 6, 9, 12, 15 \)).

Thus, the missing number is **33**.

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