🧠 ISI Sequence & Series PYQ #jee #maths #iitjee #jeemains #sequence

Let’s crack this ISI-level Sequence & Series problem! 🚀 This question will test your understanding of AP, GP, and special series. Watch the full solution with tricks and tips to master sequence and series for ISI, JEE Advanced, and Olympiads! 🧠💡

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[vikramrawat]

Bro is to good that he stopped doing jee pyq's
And now doing isi pyq's 🗿

[mathematical]

Sir please make a dedicated series for ISI prep

[TrishanuAgarwal-oz]

Sir aur bhi aisa isi ke qn late rhi hai pls❤

[BharathK-rk]

Tq for such questions sir. It is helping me a lot❤

[Ashishpoddarrr]

1/5 kyun nhin denominator ko 2ka power 2 minus 1 bhi toh likh skte hain...

[aadarshmutyala]

Is the answer option (b) n/2 and n?
Found patterns for n=5 and n=6 and tried to generalize..

[vinayaksridhar]

Answer is option B

Let S=1+1/2 + 1/3 + 1/4...+1/2ⁿ-1

=1+ (1/2+1/3) + +(1/2ⁿ‐¹ + 1/2ⁿ‐¹+1 + 1/2ⁿ-1)
< 1 + (1/2 +1/2) + (1/4 + 1/4 + 1/4 + + (1/2ⁿ‐¹ + 1/2ⁿ‐¹ + 1/2ⁿ‐¹....+1/2ⁿ‐¹)
= 1+1+1...+1=n [there are 2ⁿ‐¹ numbers from 2ⁿ‐¹ to 2ⁿ-1]

So, S<n

Similarly,
+ 1/2ⁿ - 1/2ⁿ
=1+1/2+ (1/3 + 1/4) +(1/5...+1/8)... +1/2ⁿ) - 1/2ⁿ
>1+1/2 -1/2ⁿ
= 1+1/2+1/2...+1/2 - 1/2ⁿ
=1+ n/2 - 1/2ⁿ
>n/2

So... S>n/2

Thus, n/2<S<n
Hence, option B

[divyanshurajeev]

Sir i have a doubt, the minimum value of f(x)=x+1/x according to AM GM inequality is 2 but f(-1)=-2. What's wrong here please tell? I want to know where i am lagging the concept