Brief Notes of Arithmetic Progression, Study notes of Mathematics

The notes covers definition and example of AP. How to find a general term of an AP and the sum of n-terms of an AP with some solved examples and some question to try for the students

Typology: Study notes

2025/2026

Available from 03/14/2026

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4 1, 3, Se Te FI, @ 2. 1,41 'b, C4, 2 3 1, t, 21 3, Se Be 2 i Avilbmefic PP?” qr ccron AP wow a sequere whose fermg inercase 6F decvesse by A lixed number. “Ths hired no Called the. Common ditberene. & . w '; 4, FA ,16 419 ro Wi) og, 6, 41 2 Or -2, >> f Wi) 3, 3, 3. 9, 8, — Greneval taorm of AP JE 6 iw the hive fevrm qd A W the Gommen Abb eve of AP a, - a GO, = 4d GQ, = At 2ol ° nr. aal U4 A+ 2a ay Qa + (n-t) d S$ 46 9 Himes Me git term eb an AP a equal poe 13! form , then foe 22°" ferm to 1% times ob te «=P Sef *- 9x Ag 13K Ay, G(449A) = 13% (a4i12d) GR + 772A = 130 +4 1SbAd 4Q4 $4d =O wx Qa ~ QAt2Id =0 Ag? =O G Frnd {te ve of ferme in tte Sequel 4:12, 20, ~--. , 109% Sett. . d= 12-4 = 8 af woe, An = A+ (Wd 109 = A + Cnt) xG wg =~ 44 Bn -8 1S == gu 4 gun pog4+4 = 12 aAt2Id =o G; vo few al it, them ! I ; l - OO +o Otte eT JG, + Sao Ja, + Jaz Soy 1 #)Qn n-l n- Ot =k (5) Me (a) _ 7 (A] NOT Ja, + Jar Va,4+ JQ. Ja, #Jan $ The no ef ferme Common to two AP, 3,4 Ul, - -- ,A0F ard 2,9, 16 ,- ---1 €03% St ~ LAP 3,4, W, 18413, Q3) 27, 81, 384 89TH ATES, ~ AOT 2 AP > 2,9,16 ,@3) 30, 34,44,6),--~ > + T09 23, Sl, ~ The lommon ferms are ale in AP ud Ia CD =~ [Lom (4,,do) = LOM (4) = 28 Gun = 234 (nI) K 28 ‘| 23 4+ 2gn—~2¢ ~~ 2gunu-s An Zz Aot n< [4.--- — n=] 2gu-S < Fort 4 no ef (Common ferms 28u Stk 103 = 14. nN < AE 285 —) Sum ef n- terms ot On AP Sy = (a) +(a4d) + (ated) © ~~~ - + (a+ (n-vd) Su =(ate-yd) +(a + (n-2)4) - . —- tft 4 2Su — hn f2a+cnvel P ~ * [2a4 nd] Swoz tt [a+ a. |} E = (aed cr wu tur ° two drgif numbers cubicle The. Aum ot qu divided by 4, Fit costly yemarnder, 1A ef‘ a The numbers ave 13, 11, 24, — - >> 15