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Find the Sum of n terms of Arithmetic Sequence a = 10, n=99, and d=2

Make use of our handy arithmetic sequence calculator and Find the Sum of n terms of Arithmetic Sequence a = 10, n=99, and d=2. After clicking on the calculate button you will get the desired output i.e. 10692.0 for the given inputs in a matter of seconds.

First term [a]:
common difference[d]:
Total terms[n]:

Steps to find sum of n terms of arithmetic sequence:

sum of n terms of arithmetic sequence formula:-

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


where:
  • sn is the sum of n terms
  • a is first term
  • n is total number of terms
  • d is common difference
Input values are:-

a = 10

n = 99

d = 2

Put values into formula

S99 = `n/2 (2a+(n−1)d)`

S99 = `99/2 * ( 2*10 + ( 99 - 1)*2 )`

S99 = 10692.0

Step by Step Process for Finding Sum of n terms of Arithmetic Sequence a = 10, n=99, and d=2

Here is the detailed procedure to find the sum of first n terms of Arithmetic Sequence a = 10, n=99, 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 = 10, n=99, 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 = 99/2 * [2(10) + (99-1)2].

  • Now, simply the above expression to get the sum of first n terms of Arithmetic sequence for a = 10, n=99, and d=2 is S5 = 10692.0

Example for Finding Sum of n terms of Arithmetic Sequence

Sum of n terms of AP when a = 1, r = 3 and n = 83
Sum of n terms of AP when a = 10, r = 5 and n = 89
Sum of n terms of AP when a = 10, r = 3 and n = 96
Sum of n terms of AP when a = 8, r = 3 and n = 95
Sum of n terms of AP when a = 7, r = 5 and n = 88
Sum of n terms of AP when a = 10, r = 5 and n = 85
Sum of n terms of AP when a = 9, r = 4 and n = 83
Sum of n terms of AP when a = 7, r = 1 and n = 80
Sum of n terms of AP when a = 3, r = 3 and n = 78
Sum of n terms of AP when a = 4, r = 2 and n = 79

FAQs on How to find Sum of n terms of A.P for a = 10, n=99, and d=2

1. Where Can I Find the Sum of n terms of Arithmetic Sequence a = 10, n=99, and d=2?

You can Find the Sum of n terms of Arithmetic Sequence a = 10, n=99, 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 = 10, n=99, and d=2 easily using a calculator? 

Yes, you will get the Result for the Sum of n terms of A.P for a = 10, n=99, and d=2 easily using our handy arithmetic calculator tool. The output is S5 = 10692.0

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].