If
a=−2−5ia=-2-5i
a=−2−5i and
b=−ib=-i
b=−i, then find the value of the
ab3ab^3
ab
3
in fully simplified form.

Step-by-step explanation:

We were given the complex numbers;

and

We want to find the product;

We substitute the complex numbers into the expression and simplify:

This is rewritten as:

Note that

We substitute to obtain:

Let us expand to get:

This simplifies to:

This gives:

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.