9.2 Arithmetic Sequence

Arithmetic Sequence: A sequence whose consecutive terms have a common difference

d is the Common Difference of the arithmetic sequence.

The term of an Arithmetic Sequence:

The Sum of a Finite Arithmetic Sequence:

The Partial Sum of an Arithmetic Sequence:

Find the 150th partial sum of the arithmetic sequence: 5, 16, 27, 38, 49, ...

and so, the nth term is

therefore,

= 75(1649)

=123,675