Question

A partial sum of an arithmetic sequence is given. Find the sum. −17 − 16.3 − 15.6 −..... + 52.3?

Answer 1

Step 1 :

Sum of the n terms of an arithmetic sequence is .

Where,

n is number of terms.

 is the initial term and

 is the final term.

Step 2 :

Find sum.

Partial sum of an arithmetic sequence is .

Initial term of the sequence is .

Final term of an arithmetic sequence is .

Where,

 is the Initial term.

 is the common difference.

Common difference : .

Final term of an arithmetic sequence is .

Step 3 :

Sum of the n terms of an arithmetic sequence is .

Substitute the values of  in above formula.

Thus, the sum is 1765.

Solution :

The sum is 1765.