In TypeScript, you can declare and initialize an array using the following syntax:
```typescript
let arrayName: Type[] = [element1, element2, element3, ...];
```
Here's an example of declaring and initializing an array of numbers:
```typescript
let numbers: number[] = [1, 2, 3, 4, 5];
```
In the above example, `numbers` is the name of the array, and it is declared as an array of numbers (`number[]`). The array is then initialized with the elements 1, 2, 3, 4, and 5.
You can also declare and initialize an array of strings:
```typescript
let names: string[] = ["Alice", "Bob", "Charlie"];
```
In this example, `names` is declared as an array of strings (`string[]`), and it is initialized with the strings "Alice", "Bob", and "Charlie".
You can replace the `Type` with the appropriate data type (such as `number`, `string`, `boolean`, etc.) based on the type of elements you want to store in the array.
You can also declare an empty array without any initial elements:
```typescript
let emptyArray: Type[] = [];
```
This declares an empty array of the specified type, which you can later populate with elements.
Remember to replace `Type` with the desired data type when declaring an array in TypeScript.