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Find the Sum of n terms of Arithmetic Sequence a = 3, n=77, and d=1

Make use of our handy arithmetic sequence calculator and Find the Sum of n terms of Arithmetic Sequence a = 3, n=77, and d=1. After clicking on the calculate button you will get the desired output i.e. 3157.0 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 = 3

n = 77

d = 1

Put values into formula

S77 = `n/2 (2a+(n−1)d)`

S77 = `77/2 * ( 2*3 + ( 77 - 1)*1 )`

S77 = 3157.0

Step by Step Process for Finding Sum of n terms of Arithmetic Sequence a = 3, n=77, and d=1

Here is the detailed procedure to find the sum of first n terms of Arithmetic Sequence a = 3, n=77, and d=1. 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 = 3, n=77, and d=1.

  • 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 = 77/2 * [2(3) + (77-1)1].

  • Now, simply the above expression to get the sum of first n terms of Arithmetic sequence for a = 3, n=77, and d=1 is S5 = 3157.0

Example for Finding Sum of n terms of Arithmetic Sequence

Sum of n terms of AP when a = 8, r = 3 and n = 92
Sum of n terms of AP when a = 7, r = 5 and n = 79
Sum of n terms of AP when a = 8, r = 2 and n = 91
Sum of n terms of AP when a = 5, r = 2 and n = 89
Sum of n terms of AP when a = 2, r = 4 and n = 89
Sum of n terms of AP when a = 4, r = 2 and n = 98
Sum of n terms of AP when a = 3, r = 2 and n = 80
Sum of n terms of AP when a = 10, r = 1 and n = 84
Sum of n terms of AP when a = 9, r = 1 and n = 94
Sum of n terms of AP when a = 10, r = 5 and n = 82

FAQs on How to find Sum of n terms of A.P for a = 3, n=77, and d=1

1. Where Can I Find the Sum of n terms of Arithmetic Sequence a = 3, n=77, and d=1?

You can Find the Sum of n terms of Arithmetic Sequence a = 3, n=77, and d=1 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 = 3, n=77, and d=1 easily using a calculator? 

Yes, you will get the Result for the Sum of n terms of A.P for a = 3, n=77, and d=1 easily using our handy arithmetic calculator tool. The output is S5 = 3157.0

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].