Which geometric series converges?

0.02+0.02+0.02+0.02+...

4+0.08 +0.0016+0.000032+

4+80+ 1.600+ 32,000+.

0.02+0.04+0.08+0.16+.

4+0.08 +0.0016+0.000032+

Step-by-step explanation:

a+ar+ar²+ar³+ar⁴+…

the  geometric series converges if  |r| < 1

The geometric series converges:

4+0.08 +0.0016+0.000032+

0.08=4*0.02

0.0016=4*(0.02)²

0.000032=4*(0.02)³

r=0.02<1

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.