Find nth term of Arithmetic Sequence a = 10, n=100, and d=3

Steps to find nth term of arithmetic sequence:

nth term of arithmetic sequence formula:-

a_n = a + (n-1) *d

where:

• a_n is the nth term
• a is first term
• n is total number of terms
• d is common difference

Input values are:-

a = 10

n = 100

d = 3

Put values into formula

a₁₀₀ =a + (n-1) *d

a₁₀₀ = 10 + (100-1) *3

a₁₀₀ = 307

The steps that should be followed to calculate the Nth Term of Arithmetic Sequence a = 10, n=100, and d=3 is listed below for your knowledge. Refer to them while finding the nth term of AP: 

• At the initial stage, you have to understand the given terms to find the nth term of the Arithmetic sequence i.e., a = 10, n=100, and d=3.
• Now, you have to apply the formula of arithmetic progression nth term ie., an =a+(n-1)d and put the values in it. 
• After simplifying the expression, you will get the output as a5=307. 

Example for Finding nth term of Arithmetic Sequence

1. How do you find the nth term of an Arithmetic Sequence? 

The nth term of an AP is calculated by the formula ie., an =a+(n-1)d. So, substitute the given values in the nth term Arithmetic sequence formula and get the result in no time. 

2. What is the nth term of the given Arithmetic Sequence a = 10, n=100, and d=3?

The nth term of the given Arithmetic Sequence a = 10, n=100, and d=3 is a5=307. 

3. How do you calculate the nth term of a given Arithmetic Sequence a = 10, n=100, and d=3 using the Arithmetic Sequence calculator? 

With the help of an online arithmetic sequence calculator, you can easily calculate the nth term of a given Arithmetic Sequence a = 10, n=100, and d=3 just by entering the values in the input box and pressing the calculate button to provide the desired output ie., 307 in split seconds.