This looks super duper hard wish I can solve it out
Solve for m by simplifying both sides of the equation, then isolating the variable.
m = -2.5
It is a rational number because it is a terminated decimal and can be expressed as a fraction.
Q.34
The infinite geometric series is converges if |r| < 1.
We have r =1.002 > 1, therefore our infinite geometric series is Diverges
Answer: c. Diverges, sum not exist.
Q.35
The infinite geometric series is converges if |r| < 1.
We have r = 4/5 < 1, therefore our infinite geometric series is converges.
The sum S of an infinite geometric series with |r| < 1 is given by the formula :
We have:
substitute:
Answer: c. Converges, -25.