Find the Sum of n terms of Arithmetic Sequence a = 4, n=84, and d=4
Created By : Abhinandan Kumar
Reviewed By : Rajashekhar Valipishetty
Last Updated : Mar 21, 2023
Make use of our handy arithmetic sequence calculator and Find the Sum of n terms of Arithmetic Sequence a = 4, n=84, and d=4. After clicking on the calculate button you will get the desired output i.e. 14280.0 for the given inputs in a matter of seconds.
Sum of Arithmetic Sequence a = 4, n=84, and d=4 is 14280.0
Steps to find sum of n terms of arithmetic sequence:
sum of n terms of arithmetic sequence formula:
S_{n} = `n/2 (2a+(n1)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 = 4
n = 84
d = 4
Put values into formula
S_{84} = `n/2 (2a+(n−1)d)`
S_{84} = `84/2 * ( 2*4 + ( 84  1)*4 )`
S_{84} = 14280.0
Here is the detailed procedure to find the sum of first n terms of Arithmetic Sequence a = 4, n=84, and d=4. 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 = 4, n=84, and d=4.

Now, take the sum of n terms of Arithmetic progression formula ie., S = n/2 * [2a₁ + (n1)d] and substitute the input values.

After that, we get S = 84/2 * [2(4) + (841)4].

Now, simply the above expression to get the sum of first n terms of Arithmetic sequence for a = 4, n=84, and d=4 is S_{5} = 14280.0
Example for Finding Sum of n terms of Arithmetic Sequence
FAQs on How to find Sum of n terms of A.P for a = 4, n=84, and d=4
1. Where Can I Find the Sum of n terms of Arithmetic Sequence a = 4, n=84, and d=4?
You can Find the Sum of n terms of Arithmetic Sequence a = 4, n=84, and d=4 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 = 4, n=84, and d=4 easily using a calculator?
Yes, you will get the Result for the Sum of n terms of A.P for a = 4, n=84, and d=4 easily using our handy arithmetic calculator tool. The output is S5 = 14280.0
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 + (n1)d].