## Home > katas > Grasshopper - Summation (8kyu) [TypeScript]

# Grasshopper - Summation (8kyu) [TypeScript]

Chek kata on Codewars

Description:

```
Write a program that finds the summation of every number from 1 to num. The number will always be a positive integer greater than 0.
For example:
summation(2) -> 3
1 + 2
summation(8) -> 36
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8
```

#### Solution 1

Let's start with `loop`

solutions.

```
export const summation = (num: number) => {
let sum: number = 0
for(let i = 0; i <= num; i++) {
sum += i
}
return sum
}
```

#### Solution 2

Let's solve it with `Gauss Formula`

.

```
export const summation = (num: number) => num * (num + 1) / 2
```

#### Solution 3

Let's solve it with `recursion`

.

```
export const summation = (num: number) => {
return num ? num + summation(num - 1) : num
}
```