Find the sum of this infinite geometric series where a1=0.3 and r=0.55

The sum of the infinite geometric sequence is given by:

         ....[1]

where,

is the first term

r is the common ratio.

As per the statement:

Given that and r = 0.55

To find the sum of this infinite geometric series.

Substitute the given values in [1] we have;

⇒

Simplify:

Therefore,  the sum of this infinite geometric series approximate is, 0.67

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.