AP GP & HP

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.

#Algebra

Easy Math Editor

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Comments

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.

Satvik Golechha - 7 years ago

Do you know about AP-GP-HP inequalities?

Krishna Ar - 7 years ago

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

Satvik Golechha - 7 years ago

@Satvik Golechha – So Am I. :( I can't fathom of improving in such deep rooted concepts. Know any such method? Are you good at geometry?

Krishna Ar - 7 years ago

@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 - 7 years ago

@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 - 7 years ago

@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.

Satvik Golechha - 7 years ago

@Satvik Golechha – I stand corrected again.

Krishna Ar - 7 years ago

@Satvik Golechha – Why don't you follow people at all???

Krishna Ar - 7 years ago

@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.

Satvik Golechha - 7 years ago

@Satvik Golechha – Oh..... But how do you see their posts?

Krishna Ar - 7 years ago

@Krishna Ar – Oh! Come on.........by simply opening their profile.......

Satvik Golechha - 7 years ago

@Satvik Golechha – And how do you get questions in your feed? :-o

Krishna Ar - 7 years ago

I cant understand HP what is constant in it

Manish Mayank - 7 years ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$