Welcome to my article **How to solve i+i^2+i^3+i^4 upto 101 terms**. This question is taken from the simplification lesson.

The solution of this question has been explained in a very simple way by a well-known teacher by doing addition, subtraction, and fractions.

For complete information on how to solve this question **How to solve i+i^2+i^3+i^4 upto 101 terms**, read and understand it carefully till the end.

Let us know how to solve this question **How to solve i+i^2+i^3+i^4 upto 101 terms**.

First write the question on the page of the notebook.

## How to solve i+i^2+i^3+i^4 upto 101 terms

**First write this question as follows and then solve**,

**here**,

a = i

n = 9

r = \displaystyle \frac{{{{i}^{2}}}}{i} = i

**Formula**–

** \displaystyle {{S}_{n}}=\frac{{a({{r}^{n}}-1)}}{{r-1}}**

**Substituting the values of a , r , n in this formula,**

**we know that ,**

**so,**

**i+i^2+i^3+i^4 upto 101 terms = i [Answer]**

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