Find the sum of the first 38 terms: 9/2,5,11/2,6,13/2

Ths sum of the first 38 terms is

Step-by-step explanation:

Arithmetic Sequences

They are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

The sum of n terms of the sequence is

The common difference is found by subtracting two consecutive terms:

Using the first two terms:

Now we find the term n=38

The sum is:

Ths sum of the first 38 terms is