Understanding the Series Question

The question asks us to find the next term in the given series: 3G, 6H, 11J, 18M, ?. Each term in the series is a combination of a number followed by a letter. To solve this, we need to analyze the pattern in the numerical part and the alphabetical part separately.

Analyzing the Numerical Sequence

Let's look at the numbers in the series: 3, 6, 11, 18.

We can find the difference between consecutive numbers:

• Difference between the 1st and 2nd number: $6 - 3 = 3$
• Difference between the 2nd and 3rd number: $11 - 6 = 5$
• Difference between the 3rd and 4th number: $18 - 11 = 7$

The differences are 3, 5, 7. This is a sequence of consecutive odd numbers. Following this pattern, the next difference should be the next odd number after 7, which is 9.

So, the next number in the series will be the last number (18) plus the next difference (9):

$$18 + 9 = 27$$

The numerical part of the next term is 27.

Analyzing the Alphabetical Sequence

Now let's look at the letters in the series: G, H, J, M.

We can determine the position of each letter in the English alphabet:

• G is the 7th letter.
• H is the 8th letter.
• J is the 10th letter.
• M is the 13th letter.

Let's find the gap or number of steps between consecutive letters:

• From G (7th) to H (8th): $8 - 7 = 1$ step
• From H (8th) to J (10th): $10 - 8 = 2$ steps
• From J (10th) to M (13th): $13 - 10 = 3$ steps

The steps between the letters are 1, 2, 3. This is a sequence of consecutive natural numbers. Following this pattern, the next gap should be the next natural number after 3, which is 4.

So, the next letter in the series will be 4 steps after the last letter (M). M is the 13th letter. We need the letter at position $13 + 4 = 17$.

The 17th letter in the English alphabet is Q.

The alphabetical part of the next term is Q.

Finding the Next Term in the Series

By combining the results from our numerical and alphabetical pattern analysis, we found:

• The next number is 27.
• The next letter is Q.

Therefore, the next term in the series 3G, 6H, 11J, 18M, ? is 27Q.

Checking the Options

Let's compare our calculated next term (27Q) with the given options:

• Option 1: 20U (Incorrect number and letter)
• Option 2: 27Q (Correct number and letter)
• Option 3: 27V (Correct number, but incorrect letter)
• Option 4: 18P (Incorrect number and letter)

Our result matches Option 2.

Revision Table: Series Pattern Summary

Additional Information: Understanding Letter Positions

To solve letter series questions, it's often helpful to know the position of each letter in the English alphabet (A=1, B=2, C=3, ..., Z=26). You can also think of wrapping around, where after Z comes A again in some patterns. Knowing these positions helps in finding numerical patterns in letter sequences.