I can understand AP, that it is a sequence in which difference of any two consecutive no.s is same but I cant understand what are GP & HP. Can anyone tell me somewhat briefly.

This discussion board is a place to discuss our Daily Challenges and the math and science
related to those challenges. Explanations are more than just a solution — they should
explain the steps and thinking strategies that you used to obtain the solution. Comments
should further the discussion of math and science.

When posting on Brilliant:

Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .

Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.

Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.

Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

Markdown

Appears as

*italics* or _italics_

italics

**bold** or __bold__

bold

- bulleted - list

bulleted

list

1. numbered 2. list

numbered

list

Note: you must add a full line of space before and after lists for them to show up correctly

In a GP, the ratio of any 2 consecutive terms is same. This means that when you divide any term by the term preceding it, you get a constant ratio. If you take the reciprocal of all the terms of an AP in order, it forms an HP. Hope it helps.

@Krishna Ar
–
I do not intend to sound absurd, but you've used the word 'fathom' at the wrong place. Fathom can literally be swapped with 'understand' most of the times. And of your second question, I'm average in geometry, but I suck at trigonometry.

@Satvik Golechha
–
Ah! You can perhaps make a living out of your english knowledge and the expertise in using complex jargon. Correct me again, if you find a syntax mistake :P

@Krishna Ar
–
How can it be I who uses complex jargon? 'Jargon' is the specialized vocab in certain specific fields, like 'medical jargon'. And I'm sure I don't restrict my language to a specific, recondite subject.

@Krishna Ar
–
Earlier I used to follow loads of people, but then my home page seemed to be replete with unimportant discussions and notes, and good questions got buried deep under them. I was so fed up that I un-followed everybody, but believe me, I see their posts regularly.

Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in`\(`

...`\)`

or`\[`

...`\]`

to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

TopNewestIn a GP, the ratio of any 2 consecutive terms is same. This means that when you divide any term by the term preceding it, you get a constant ratio. If you take the reciprocal of all the terms of an AP in order, it forms an HP. Hope it helps.

Log in to reply

I cant understand HP what is constant in it

Log in to reply

Do you know about AP-GP-HP inequalities?

Log in to reply

Yes, I do, but I know only the inequality AM>=GM>=HM. I'm callow in its various applications.

Log in to reply

Log in to reply

Log in to reply

Log in to reply

'medical jargon'. And I'm sure I don't restrict my language to a specific, recondite subject.Log in to reply

Log in to reply

Log in to reply

Log in to reply

Log in to reply

Log in to reply

Log in to reply