Evaluate the geometric series. Round to the nearest hundredth. Please help

5.33.

Step-by-step explanation:

A1 = 4 and r = 1/4.

The sum of n terms of a G. S, is:

Sn = a1 * (1 - r^n) / (1 - r)

So substituting, we have:

S10 = 4 * [1 - (1/4) ^10] /( 1 - 1/4)

= 5.33

5.33

Step-by-step explanation:

The n th term of a geometric series is

= a

where a is the first term and r the common ratio

4 ← is the n th term of a geometric series

with a = 4 and r =

The sum to n terms of a geometric series is

= , thus

=

     =

     = ( )

     = × 0.9999....

     = 5.33 ( to the nearest hundredth )