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okai question:

A ball is dropped from a height of 10 m. It bounces to a height of 7 m and continues to bounce. Subsequent heights to which it bounces follow a geometric sequence. Find out:

a) How high it will bounce after the fourth bounce.
b)The total distance travelled after it hits the ground for the sixth time.

For a) I got 2.401 which is right.
b) Answer is meant to be 48.82 but how do you get that?

Thanks sooo much!!
2. (Original post by Your Future Doctor)

okai question:

A ball is dropped from a height of 10 m. It bounces to a height of 7 m and continues to bounce. Subsequent heights to which it bounces follow a geometric sequence. Find out:

a) How high it will bounce after the fourth bounce.
b)The total distance travelled after it hits the ground for the sixth time.

For a) I got 2.401 which is right.
b) Answer is meant to be 48.82 but how do you get that?

Thanks sooo much!!
I've moved this thread to the Maths forum, as the A-Levels forum isn't the best place for subject-specific help.

You just need to add up the terms of a geometric progression. Separate out the initial fall (as this is only one-way, rather than up then down), then consider the distance travelled for each successive up-down motion (which is 7/10 of the previous distance each time). Do you know the formula to find the sum of terms of a GP?
3. (Original post by Illusionary)
I've moved this thread to the Maths forum, as the A-Levels forum isn't the best place for subject-specific help.

You just need to add up the terms of a geometric progression. Separate out the initial fall (as this is only one-way, rather than up then down), then consider the distance travelled for each successive up-down motion (which is 7/10 of the previous distance each time). Do you know the formula to find the sum of terms of a GP?

Thank you! Im new on TSR so I cant work out how to put thread into different categories

Yup! I used the sum of terms and I got the answer now! Thanks a lot for your help.
4. (Original post by Your Future Doctor)
Thank you! Im new on TSR so I cant work out how to put thread into different categories

Yup! I used the sum of terms and I got the answer now! Thanks a lot for your help.
Glad to hear that you've got it sorted.

To see a full list of the forums on the site, click on the "Forums" tab at the top of every page. We have subject-specific academic forums for most common subjects, and more general 'umbrella' categories to cover the rest (such as the Maths, Science and Technology Academic Help forum that this Maths forum is part of). Of course, TSR isn't just about academic questions, so I'd encourage you to explore the wider areas that the site covers.
5. (Original post by Illusionary)
Glad to hear that you've got it sorted.

To see a full list of the forums on the site, click on the "Forums" tab at the top of every page. We have subject-specific academic forums for most common subjects, and more general 'umbrella' categories to cover the rest (such as the Maths, Science and Technology Academic Help forum that this Maths forum is part of). Of course, TSR isn't just about academic questions, so I'd encourage you to explore the wider areas that the site covers.
Wow! Thank you for telling me this. I just checked it out and now I know how to create a thread under a specific category/sub-forum.
Yeah I am still discovering TSR and learning some new things.
Thanks again.
Are you at Uni?
6. (Original post by Your Future Doctor)
Wow! Thank you for telling me this. I just checked it out and now I know how to create a thread under a specific category/sub-forum.
Yeah I am still discovering TSR and learning some new things.
Thanks again.
Are you at Uni?

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