Question

If (1)/(a) ,(1)/(b), (1)/(c) are in A.P then a, b ,c are in . ​

Answer 1

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Actually Welcome to the Concept of the Mathematical Progression.

Basically we know that, there are three types of progression that are,

Arithmetic Progression, Geometric Progression and Harmonic progression.

In this types, here the two relatable progressions are

Arithmetic and the Harmonic progression.

If we talk about a series like,

=> a1, a2, a3, a4 and so on,

the an term will be given as,

=> an = a + (n-1)d, where d is the common difference,

So here, the Harmonic progression is reciprocal of the AP, as

the terms will be

=> 1/a1, 1/a2,1/a3 , 1/a4 and so on...

there an term will be as,

=> an = 1/(a + (n-1) d)

so we can say that, here

⭐a, b, c are in HP