Consider the following geometric sequence. -5,10,-20, if the explicit formula for the sequence above is

The explicit formula for the geometric sequence is given by:

where,

si the first term

r is the common ratio of the terms.

As per the statement:

Consider the following geometric sequence. -5, 10, -20, 40...

First term() = -5

Common ratio(r) = -2

Since,

,

,

and so on...

Substitute the given values in [1] we have;

where, n is the number of term.

On comparing the equation    with we get;

b = -5 and c = -2

Therefore, the values of b and c are:

b = -5 and c = -2

a

step-by-step explanation: