In order for an infinite geometric series to have a sum, the common ration has to be greater than one.
2 answers:
Answer:
The statement is false.
Step-by-step explanation:
The sum of a geometric progression is given by
For an infinite GP the sum is given by
This equation can only be used when the common ratio is less than 1.
Here the statement is in order for an infinite geometric series to have a sum, the common ration has to be greater than one. This statement is wrong because the sum equation can only be used when the common ratio is less than 1.
The statement is false.
You might be interested in
To find out how many hours it rained, divide the total rise in the river by the amount it rose every hour.
First convert the mixed number into an improper fraction. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:
When dividing fractions we flip(the reciprocal) the one we're dividing by and multiply:
Multiply the numerators and denominators together:
Simplify by dividing:
So it rained for 10 hours.
First convert the mixed number into an improper fraction. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:
When dividing fractions we flip(the reciprocal) the one we're dividing by and multiply:
Multiply the numerators and denominators together:
Simplify by dividing:
So it rained for 10 hours.