What number should come next in the letter series: AZ, CX, EV, GT, ?

Question

Accepted Answer

Let's analyze the pattern in both the first and second letters of each term in the series: $AZ, CX, EV, GT, ?$

### First Letter Analysis:
* **A** ($1^{st}$ letter)
* **C** ($3^{rd}$ letter) $ightarrow$ +2 shift
* **E** ($5^{th}$ letter) $ightarrow$ +2 shift
* **G** ($7^{th}$ letter) $ightarrow$ +2 shift
* Next letter must be the $9^{th}$ letter, which is **I**.

### Second Letter Analysis:
* **Z** ($26^{th}$ letter)
* **X** ($24^{th}$ letter) $ightarrow$ -2 shift
* **V** ($22^{nd}$ letter) $ightarrow$ -2 shift
* **T** ($20^{th}$ letter) $ightarrow$ -2 shift
* Next letter must be the $18^{th}$ letter, which is **R**.
*(Notice also that each pair consists of opposite letters: A-Z, C-X, E-V, G-T, where the sum of their alphabetical positions is always 27).* combinatorial check: I (9) + R (18) = 27.

**Answer:** The next term in the series is **IR**.

What number should come next in the letter series: AZ, CX, EV, GT, ? - DDCET Q&A

What number should come next in the letter series: AZ, CX, EV, GT, ?

Have your own DDCET doubts?