Find the Sum of n terms of Arithmetic Sequence a = 6, n=100, and d=2

Steps to find sum of n terms of arithmetic sequence:

sum of n terms of arithmetic sequence formula:-

S_n = `n/2 (2a+(n-1)d)`

where:

• s_n is the sum of n terms
• a is first term
• n is total number of terms
• d is common difference

Input values are:-

a = 6

n = 100

d = 2

Put values into formula

S₁₀₀ = `n/2 (2a+(n−1)d)`

S₁₀₀ = `100/2 * ( 2*6 + ( 100 - 1)*2 )`

S₁₀₀ = 10500.0

Here is the detailed procedure to find the sum of first n terms of Arithmetic Sequence a = 6, n=100, and d=2. Let’s jump into the process and learn the calculation along with the output of sum of n terms of AP:

• At first, we need to figure out the given values to find the sum of first n terms of AP ie., a = 6, n=100, and d=2.

• Now, take the sum of n terms of Arithmetic progression formula ie., S = n/2 * [2a₁ + (n-1)d] and substitute the input values.

• After that, we get S = 100/2 * [2(6) + (100-1)2].

• Now, simply the above expression to get the sum of first n terms of Arithmetic sequence for a = 6, n=100, and d=2 is S₅ = 10500.0

Example for Finding Sum of n terms of Arithmetic Sequence

1. Where Can I Find the Sum of n terms of Arithmetic Sequence a = 6, n=100, and d=2?

You can Find the Sum of n terms of Arithmetic Sequence a = 6, n=100, and d=2 from our online tools ie., arithmetic sequence calculator.

2. Do I Get the Result for the Sum of n terms of A.P for a = 6, n=100, and d=2 easily using a calculator? 

Yes, you will get the Result for the Sum of n terms of A.P for a = 6, n=100, and d=2 easily using our handy arithmetic calculator tool. The output is S5 = 10500.0

3. What is the formula for finding the sum of n terms of arithmetic progression? 

The formula for determining the sum of n terms of arithmetic progression is S = n/2 * [2a₁ + (n-1)d].