Find the Sum of n terms of Arithmetic Sequence a = 6, n=76, and d=3
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 = 6, n=76, and d=3. After clicking on the calculate button you will get the desired output i.e. 9006.0 for the given inputs in a matter of seconds.
Sum of Arithmetic Sequence a = 6, n=76, and d=3 is 9006.0
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 = 6
n = 76
d = 3
Put values into formula
S76 = `n/2 (2a+(n−1)d)`
S76 = `76/2 * ( 2*6 + ( 76 - 1)*3 )`
S76 = 9006.0
Here is the detailed procedure to find the sum of first n terms of Arithmetic Sequence a = 6, n=76, and d=3. Let’s jump into the process and learn the calculation along with the output of sum of n terms of AP:
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At first, we need to figure out the given values to find the sum of first n terms of AP ie., a = 6, n=76, and d=3.
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Now, take the sum of n terms of Arithmetic progression formula ie., S = n/2 * [2a₁ + (n-1)d] and substitute the input values.
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After that, we get S = 76/2 * [2(6) + (76-1)3].
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Now, simply the above expression to get the sum of first n terms of Arithmetic sequence for a = 6, n=76, and d=3 is S5 = 9006.0
Example for Finding Sum of n terms of Arithmetic Sequence
FAQs on How to find Sum of n terms of A.P for a = 6, n=76, and d=3
1. Where Can I Find the Sum of n terms of Arithmetic Sequence a = 6, n=76, and d=3?
You can Find the Sum of n terms of Arithmetic Sequence a = 6, n=76, and d=3 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=76, and d=3 easily using a calculator?
Yes, you will get the Result for the Sum of n terms of A.P for a = 6, n=76, and d=3 easily using our handy arithmetic calculator tool. The output is S5 = 9006.0
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].