Series: Arithmetic Progression Formula Manipulation

Worked Solution:

The formula for the sum, S of n terms of the arithmetic series starting at a whose terms have a common difference of d is:

S =	n (2 a + (n – 1) d ) 2

For this arithmetic series, we have

a =

36 7

,

n =

31

and

d =

153 28

–

36 7

=

9 28

With the values for this series we have:

S =	31 ( 2× 36 7 + ( 31 –1) 9 28 ) 2

S =

8649 28

= 308.893