Given the sequence of terms, AD CG FK JP, the next term is
OV
Sequence Analysis: Decoding the Letter Pattern
The question asks us to identify the next term in the given sequence of letter pairs: AD, CG, FK, JP. To solve this type of letter series problem, we need to find the underlying pattern in how the letters change from one term to the next. We will analyze the first letter of each pair and the second letter of each pair separately to discover their individual progression rules.
Letter Positions in the Alphabet
To understand the patterns, it's helpful to know the standard alphabetical position of each letter. Here is a quick reference:
| Letter | Position | Letter | Position | Letter | Position |
|---|---|---|---|---|---|
| A | 1 | J | 10 | S | 19 |
| B | 2 | K | 11 | T | 20 |
| C | 3 | L | 12 | U | 21 |
| D | 4 | M | 13 | V | 22 |
| E | 5 | N | 14 | W | 23 |
| F | 6 | O | 15 | X | 24 |
| G | 7 | P | 16 | Y | 25 |
| H | 8 | Q | 17 | Z | 26 |
| I | 9 | R | 18 |
First Letter Pattern in the Series
Let's look at the first letters of each term in the given sequence: A, C, F, J. We will find their alphabetical positions and calculate the difference between consecutive letters.
| Term | First Letter | Alphabetical Position | Difference from Previous |
|---|---|---|---|
| AD | A | $\text{1}$ | - |
| CG | C | $\text{3}$ | $\text{3} - \text{1} = \text{+2}$ |
| FK | F | $\text{6}$ | $\text{6} - \text{3} = \text{+3}$ |
| JP | J | $\text{10}$ | $\text{10} - \text{6} = \text{+4}$ |
We can observe a clear pattern in the differences for the first letters: $\text{+2}$, $\text{+3}$, $\text{+4}$. This indicates an arithmetic progression where the difference increases by 1 each time. Following this logic, the next difference should be $\text{+5}$.
- The last first letter in the sequence is J, which is at position $\text{10}$.
- To find the next first letter, we add the predicted difference: $\text{10} + \text{5} = \text{15}$.
- The letter at alphabetical position $\text{15}$ is O.
Second Letter Pattern in the Series
Next, let's analyze the second letters of each term in the sequence: D, G, K, P. We will again find their alphabetical positions and the differences between them.
| Term | Second Letter | Alphabetical Position | Difference from Previous |
|---|---|---|---|
| AD | D | $\text{4}$ | - |
| CG | G | $\text{7}$ | $\text{7} - \text{4} = \text{+3}$ |
| FK | K | $\text{11}$ | $\text{11} - \text{7} = \text{+4}$ |
| JP | P | $\text{16}$ | $\text{16} - \text{11} = \text{+5}$ |
Similar to the first letters, we see a pattern in the differences for the second letters: $\text{+3}$, $\text{+4}$, $\text{+5}$. This also follows an arithmetic progression where the difference increases by 1 each time. Therefore, the next difference should be $\text{+6}$.
- The last second letter in the sequence is P, which is at position $\text{16}$.
- To find the next second letter, we add the predicted difference: $\text{16} + \text{6} = \text{22}$.
- The letter at alphabetical position $\text{22}$ is V.
Next Term Calculation
By combining the next predicted first letter and the next predicted second letter, we can form the complete next term in the sequence.
- The next first letter is O.
- The next second letter is V.
Therefore, the next term in the sequence AD, CG, FK, JP is OV.
Important Questions from Critical Reasoning
As a responsible person, which of the following is not advisable?
- A, B, and C have a few chocolates among themselves. A gives to each of the other two half the number of chocolates they already have. Similarly B and C (in that order) give each of the other two half the number of chocolates each of them already has. Now, if each of them has the same number of chocolates, what could be the minimum number of chocolates they have among themselves?
Given question has main statement followed by four statements. Choose the ordered pair of statements, where the first statement implies the second, and the two statements are logically consistent with the main statement.
When she takes an examination, she clears it.
A. she took an examination
B. she did not take an examination
C. she cleared it.
D. she did not clear it.
You are alone in your house and there is a danger of thieves around. You hear a knock on the door. What should be your most logical action?
While traveling in a train, you notice that a lady from the coach behind you falls from the stairs of the train. What should be your best rational course of action?
