Sequence and Series

quite sure

@just_neelansh
most probably question is wrong.

This post is deleted!

@ashishdeosingh but where are u struct...cant we solve this

@just_neelansh
not able to . becz terms should be mostly consecutive. else cancellations not occuring
i cud get a1003+ a1004=2003.

please provide details about source of question. if printed then atleast share this we can be sure about anything you might have missed.
is it iit level or do we need to think with IMO level concepts?

@ashishdeosingh the condition given A(n – 2) = A(n + 1) – A(n) is just for letting us know tht the sequence is in Ap as far as i approached rest is two equation given and we have to solve for first term and common difference

@nukitapuyol ...
....JEE(A)
It was also asked on a therad on FIITJEE's site same copy paste question


@just_neelansh plez provide the question link if possible

@yashkapoor provided above,
try manipulating with the terms 100 1001 1002 1003

GUYz i tried it and i am getting the answer as 1002001 (intresting :P)
..someone verify if they are getting too
@ashishdeosingh
@nukitapuyol
@YashKapoor
@tusharrathore

@just_neelansh
please share solution🙏🏼

@just_neelansh
What ap are u talking.how is this in ap?
FoR AP consecutive terms difference should be same.
Admin please see that people dont waste time on frivioulous questions.

@yashkapoor what man??
Let a sequence be 1,2,3,4 ..put this value in the relation you will find them coming equal and we know the sequence is an AP and the relation is also holding true for that


@just_neelansh
it is not AP. checkimg for few terms do not guarantee, that something is true for all value.

@ashishdeosingh you can take any AP value ...

TERMS in AP dont behave as the given sequence.
difference of two terms becomes constant in AP and not equal to some other term.
for the last time a$_{n+1}$ a$_n$ = d, which is contant@admin
please lock this topic. we cant go on doing this till infinity. if the question is solvable we will solve but not accept illogical, frivolous solutions and then have discssuions about explaining what is ap.

@ashishdeosingh
A lot of questions are solved by predicting otherwise at +2 level mostly you will find the sequence as AP Gp or Hp (special series are never asked in such a way in competetive exams.)
I think AP is the only way to dig the path but if you have no other option then we cant do anything in the question .