# If   where   are in A.P. and Option 1) Option 2) Arithmetic­Geometric progression Option 3) Option 4)

As we learnt in

Sum of infinite terms of a GP -

- wherein

first term

common ratio

Properties of an A.P. -

If a fixed number is added to (Subtracted from) each term of a given A.P, then the resulting sequence is also an AP.

- wherein

If is an AP

then

is also an AP

and a, b, c re in A.P

x = 1+a+a+...

Y= 1+b+b+...

z=1+c+c+...

Now, since a, b, c are in A.P

so -a, -b, -c are in A.P

so 1-a, 1-b, 1-c, are in A.P

so  in A.P

so x, y, z are in H.P

Option 1)

this option is correct

Option 2)

Arithmetic­Geometric progression

this option is incorrect

Option 3)

this option is incorrect

Option 4)

this option is incorrect

### Preparation Products

##### Knockout JEE Main April 2021

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 22999/- ₹ 14999/-
##### Knockout JEE Main April 2022

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 34999/- ₹ 24999/-
##### Test Series JEE Main April 2021

Take chapter-wise, subject-wise and Complete syllabus mock tests and get in depth analysis of your test..

₹ 6999/- ₹ 4999/-
##### JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-