#AP and GP problem!

23 messages · Page 1 of 1 (latest)

karmic tartan
#

A high school student completes his Biology test, which consists of 10 true or false questions, and tells his friends:
— My answers followed a pattern of incomplete arithmetic progression of ratio 1 for true options, in which each term was separated by a false alternative. The answer key ended with a true alternative.
Another student declares:
— No, you are wrong! The progression of true answers is complete geometric progression of ratio 2, separated by false alternatives. The sequence ends with a false alternative.
In the final result, both students discover that they got the same grade: 9.
Which of the following alternatives represents the maximum number of false alternatives that the test could have?
A. 1
B. 2
C. 3
D. 4
E. 5

kindred socketBOT
#
  1. Do not ping the Moderators, unless someone is breaking the rules.
  2. Do not ping the Helper Moderators, unless there is a conflict between helpers.
  3. Do not ping other members randomly for help.
  4. Ask your question and show the work you've done so far. If you've posted a screenshot of a question, specify which part you need help with.
  5. Wait patiently for a helper to come along.
  6. If the Helper has answered your question, remember to thank them with the Mathematics Ranks bot and close the thread with:

+close
Feel free to nominate the person for helper of the week in #helper-nominations
If you're happy with the help you got here, and the server overall, you can contribute financially as well:

languid laurel
#

since you know how they answered

#

that’s a pretty good starting hint

karmic tartan
#

Hey, I'm not asking for answers, but were you able to do this question? Is it clear how it should be done?

languid laurel
#

wait does it say “the answer key ended with true” or is that a translation thing

#

cuz it makes the problem really boring since we know the GP sequence

karmic tartan
languid laurel
#

the other thing i don’t get is like whatever the incomplete AP is

#

like i assume it just means it’s like for the T/F sequence 1 1 2 1 3 1 4 1 the answers are a snapshot of the sequence?

karmic tartan
#

Yeah, it probably is

#

Thank you anyway, I'm a little lost with the bot instructions, how do I thank you with the math ranks bot?

last ledge
#

make sure to press the red and blue buttons

karmic tartan
#

Ok, thank you

#

+close

slate coyoteBOT
# karmic tartan +close
Please thank your Helpers before closing!

Please thank the helpers who assisted you by clicking the buttons below. You can thank each helper only once. Once you're done, click "Close Post" to close this thread.

last ledge
#

welcome!

slate coyoteBOT
# slate coyote

Thank you for your feedback! !𒐪 ɹɐupoɯ⇂ㄥ8𝟝 𒐪! has been awarded 1 helper_points. They now have 11 helper_points. They have 1 helper_points daily left for today.

slate coyoteBOT
# slate coyote

dark matter Thank you for helping our users, however our Mathematics Team cares about the health of its members, so you can no longer receive helper_points since you surpassed your daily limit, but don't worry, it will be reset tomorrow.