Too many tutors are like the above. They show you nothing but what
the back of the book does. They just give you the answer with no
explanation.
Express the sum using summation notation. 15+13+11+...+(-43)
The sequence 15, 13, 11, ..., -43 is an arithmetic sequence
with
and since 13-15 = -2, 11-13=-2, the common
difference
.
Therefore, the nth term is given by:










Next we must find which term of the sequence is -43,
so we substitute -43 for an






So the sum is
Edwin