Sequence and Series Class 11 | JEE Main & Advanced

➡️ Unacademy SRG Program Entrance Examination (USPEE) Target - JEE 2026
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Master the concepts of Sequence & Series with this comprehensive Class 11 tutorial, tailored for JEE Main & Advanced aspirants. Dive deep into the fundamental principles, learn problem-solving techniques, and get ready to excel in your exams. Perfect for those aiming for top scores in JEE!
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#Sequence&Series #AP #GP #HP #Sequence&SeriesOneShot #Sequence&SeriesClass11 #JEE2026 #JEE #ArvindKaliaSir #ArvindKalia #JEEPreparation #JEENexus #Sequence&SeriesOneShot #Progressions
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TIMESTAMPS
0:00 Introduction & Nature of Chapter
2:42 Index & Critical topics
6:18 Meaning of nth term of sequence
9:56 General term of an AP
33:50 Sum of n terms of AP
53:33 Common terms in two APs
1:13:44 Key points of AP
1:28:07 General term of a GP
2:08:06 Sum of n/infinite terms of GP
2:20:49 Key points of GP
2:38:39 Arithmetico-Geometric Progression (AGP)
2:54:58 Harmonic Progression (HP)
3:02:08 AM, GM, HM
3:19:17 Relation between AM and GM
3:51:55 Weighted AM, GM
4:05:22 Relation between AM, GM & HM
4:07:16 Sigma Notation
4:50:16 Method of difference
5:04:50 Vn Method

[target__iit]

𝐓𝐈𝐌𝐄𝐒𝐓𝐀𝐌𝐏𝐒
0:34 Nature of Chapter
2:13 Weightage
2:42 *Index*
3:02 *Critical Topics*

6:30 *What is the meaning of nᵗʰ term of a sequence?*

9:57 *Arithmetic Progression*
10:32 General Term of AP
27:53 Term from the End

34:45 *Sum of n terms of AP*
41:22 _Standard Question_
49:20 NOTE (If Sₙ = An + Bn² then B=d/2)
51:34 NOTE (aₙ = Sₙ – Sₙ₋₁)
53:33 *Common Terms*
57:09 Method to find 1ˢᵗ Common Term
1:07:41 _Good Question: Find 1ˢᵗ Common Term_

1:13:44 *Key Points of AP*
1:13:50 1️⃣
1:13:54 2️⃣
1:14:12 3️⃣
1:15:26 4️⃣

1:28:29 *Geometric Progression*
1:29:17 General Term of GP
1:29:52 *Condition for AP & GP*
1:42:58 Imp Concept (Factors of x⁴ + x² + 1)
1:47:46 _Good Question: Info about Length of the sides of Triangle_
1:54:18 Criss Cross Method
2:02:38 _Using ratio and proportion_

2:08:06 *Sum of n terms of GP*
2:09:12 Sum of ∞ terms of GP
2:12:41 *Observation:*
xⁿ –1 = (x–1)(xⁿ⁻¹ + xⁿ⁻² +…+ x + 1)
If n ∈ odd; xⁿ +1 = (x+1)(xⁿ⁻¹ – xⁿ⁻² + xⁿ⁻³ –…)
If n ∈ even; (xⁿ +1) doesn't have factors

2:20:49 *Key Points of GP*
2:20:52 1️⃣
2:21:06 2️⃣
2:21:59 3️⃣
2:23:33 4️⃣
2:27:16 *NOTE:* We don't always need 1ˢᵗ term, we can use any term & begin GP
2:34:01 Increasing GP

2:38:47 *Arithmetico–Geometric Progression*
2:40:57 Sum of AGP
2:45:31 Infinite AGP
2:49:41 _Finding AGP Series_
2:53:49 _If Product is given_

2:54:59 *Harmonic Progression*
2:55:50 Condition for HP
3:01:58 Sum of HP

3:02:21 *Arithmetic Mean*
3:02:55 ΑΜ of numbers
3:03:11 ΑΜ’s between two numbers
3:06:53 (In General)
3:10:14 Sum of ‘n’ AM’s inserted between a & b

3:11:14 *Geometric Mean*
3:11:18 GM of numbers
3:12:05 GM’s between two numbers
3:12:49 (In General)
3:16:55 Product of ‘n’ GM’s inserted between a & b

3:18:24 *Harmonic Mean*
3:18:40 HM of numbers
3:18:55 HM’s between two numbers

3:19:18 *Relation between AM, GM & HM*
3:19:44 Relation for any given +ve numbers
3:20:48 *NOTE: When “=” holds true*
3:22:15 3 hints to use AM ≥ GM
3:27:30 Concept of Minimum Value by equalling
3:32:32 Range of x+(1/x)
3:34:25 Conceptual Error in finding Min Value
(Don't include constants in AM, GM relation)
(Equality doesn't come if all are taken together)
3:38:49 If Product is not Good
3:41:01 Error in finding Min Value
(If Equality didn't come when all terms are taken together in the relation, then take seperately)
3:47:56 Breaking a term: 3a = a+a+a
3:50:19 Applying AM GM seperately and then adding or multiplying

3:51:56 *Weighted AM and GM*
3:53:31 How is this different from the previous topic?
3:58:15 Shortcut

4:05:22 *Imp Relation: G² = AH*
A, G, H are in G.P
where A, G, H are A.M, G.M and H.M

4:07:17 *Sigma Notation*
4:10:04 Properties
4:11:24 Don't do this mistake
4:12:18 *Imp Formulas*
4:17:01 When Sigma helps??
4:29:18 Double & Triple Sigma
4:37:45 If Sigma doesn't help
4:41:43 If Multiple Sigmas are linked, some constraints are imposed on variables

4:50:16 *Method of Difference*
5:00:14 Question similar to AGP

5:04:50 *Vₙ Method*
5:05:34 Product in the Denominator
5:20:09 Factorial inside Sigma
5:27:14 If Recurring Relation given

[abhirajgupta-tykr]

TIMESTAMPS
0:00 Introduction & Nature of Chapter
2:42 Index & Critical topics
6:18 Meaning of nth term of sequence
9:56 General term of an AP
33:50 Sum of n terms of AP
53:33 Common terms in two APs
1:13:44 Key points of AP
1:28:07 General term of a GP
2:08:06 Sum of n/infinite terms of GP
2:20:49 Key points of GP
2:38:39 Arithmetico-Geometric Progression (AGP)
2:54:58 Harmonic Progression (HP)
3:02:08 AM, GM, HM
3:19:17 Relation between AM and GM
3:51:55 Weighted AM, GM
4:05:22 Relation between AM, GM & HM
4:07:16 Sigma Notation
4:50:16 Method of difference
5:04:50 Vn Method

[mathomagics]

THE ONE SHOTS ARE MORE LIKE PYQ SOLVING SESSIONS COVERING ALL CONCEPTS

[mj_dreamer]

1:37:45
1:46:05
1:52:16 COME BACK TO THIS
1:58:43
2:02:06 COME BACK TO THIS
2:07:52 COME BACK TO THIS
2:18:12
2:19:42
2:20:37 COME BACK TO THIS (Why in 2n, n and n equal division?)

[rushyanth]

friedrich gauss after casually inventing formula of sum of AP 🗿🗿🗿🗿

[sunnysagar]

Im just suffering by this chapter and after 2 days I've got u with a brilliant explanation ❤

[GurupadayyaHiremath-sdjf]

Sir which book do you use for jee advanced

[jaspreet]

sir reccurence walla sawal done and dusted c is the answer of last question.

[swanand_kale_]

1:50:00 if a=1, r=2 then a + ar>ar² will not satisfy😢 so it may or may not always be true.

[ankan]

Thank you sir, in my coaching sir told us to just mug up the formulae and the approaches without explaining them, you have cleared my doubts

[visionk]

sir i first time seen your video and it was soo god thanks for such an apreciating content
BEST CONTENT EVER I SEEN

[VimalShelar-lomj]

Thank you for your valuable content
It helped me gaining confident

[lalitmanohark]

In 2:50:42 the general terms of AGP must be a^2, (a+d)ar, (a+2d)ar^2 .... right?? can someone clarify my doubt

[ShanWentOffline]

Sir jab AGP ka general term AP aur GP ke general term ka multiplication hota hai to general term a+(n-1)d.ar^n-1 hona chahiye to kaise a+(n-1)d.r^n assume kiye aap

[amitkg]

In which Unacademy batch or course, we can find this lecture? I am a plus student. Pls reply.

[rudranshpunj]

4:26:39 sir yaha 1 ki jagah 3 ana chahiye tha na pls reply 🙏🏻

[bhoopenderkumar]

sir t-shirt colour exactly matches with board colour 😯😯

[A_JEE__ASPIRANT]

Sir STRAIGHT LINES ka ek session kijiye❤

[Misama-sina]

3:44:00 in this question I found the min value of all the terms except f(x), it was 2 and 4 and chose the number b/w it, 3 because that term made it an ap. It was somehow correct.

[Shubham-wdh]

H.W destroyed
Since all terms of the sequence are -ve then nth term should also be -ve...
Sare number+ve h... 1 hi -ve h
Hence
Ans = C