Which ground will the ball bounce higher on the ground without grass or on the ground with grass?

Which ground will the ball bounce higher on the ground without grass or on the ground with grass?

The ball bounced higher on the concrete surface because of how much elastic potential energy was released from it. Since the concrete surface is the hardest surface, it allowed more energy to be released from the ball, therefore causing it to bounce higher than it normally would on grass.

How do you tell if an infinite series converges or diverges?

convergeIf a series has a limit, and the limit exists, the series converges. divergentIf a series does not have a limit, or the limit is infinity, then the series is divergent. divergesIf a series does not have a limit, or the limit is infinity, then the series diverges.

How do you find the value of infinite series?

For example, follow the steps to find this value:

1. Find the value of a1 by plugging in 1 for n.
2. Calculate a2 by plugging in 2 for n.
3. Determine r. To find r, you divide a2 by a1:
4. Plug a1 and r into the formula to find the infinite sum. Plug in and simplify to find the following:

What symbol does infinite sequence have?

The infinity symbol, ∞ , is often used as the superscript to represent the sequence that includes all integer k -values starting with a certain one.

What is infinite series give example?

The sum of infinite terms that follow a rule. When we have an infinite sequence of values: 12 , 14 , 18 , 116 .

Where are infinite series used?

Infinite series, the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are useful in mathematics and in such disciplines as physics, chemistry, biology, and engineering.

What does it mean for an infinite series to converge?

A series is convergent (or converges) if the sequence of its partial sums tends to a limit; that means that, when adding one after the other in the order given by the indices, one gets partial sums that become closer and closer to a given number.

How do you calculate series?

The series of a sequence is the sum of the sequence to a certain number of terms. It is often written as Sn. So if the sequence is 2, 4, 6, 8, 10, , the sum to 3 terms = S3 = 2 + 4 + 6 = 12.