# Math AP GP and Sequences and Series in Genshin Impact

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## Question

Hu Tao is a popular character in Genshin Impact and her Blood Blossom skills deal Pyro damage every 4s.

Assuming the damage is increased by 10% every trigger and the total duration last for 20s, calculate the cumulative damage dealt if the base damage is 10k.

## Solution

Applying the GP Sum to nth term formula, since n = 5:

Total damage = $\frac{(10000)(1.10^5-1)}{(1.10-1)} $

$ = 61051 $