Find the sum of the first 25 terms of the Arithmetic sequence 12, 23,34

Question

Find the sum of the first 25 terms of the Arithmetic sequence 12, 23,34

in progress 0
2 months 2021-11-23T05:32:29+00:00 2 Answers 0 views 0

1. The sum of the members of a finite arithmetic progression is called an arithmetic series.

Using our example, consider the sum:

12+23+34+45+56+67+78+89

This sum can be found quickly by taking the number n of terms being added (here 8), multiplying by the sum of the first and last number in the progression (here 12 + 89 = 101), and dividing by 2:

n(a1+an)

2

8(12+89)

2

The sum of the 8 members of this series is 404

This series corresponds to the following straight line y=11x+12

12+23+34+45+56+67+78+89

This sum can be found quickly by taking the number n of terms being added (here 8), multiplying by the sum of the first and last number in the progression (here 12 + 89 = 101), and dividing by 2:

n(a1+an)

2

8(12+89)

2

The sum of the 8 members of this series is 404

Step-by-step explanation: