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Siliveru Anil Kumar
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#Educational Updates
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![Educational Updates - Sequences & Series Part 3:_geometric_progression (GP) Geometric Progression (GP) "A geometric,progression is a sequence where each is obtained by multiplying the previous term term by constant ratio a Basic Terms first term a 2 common ratio (r) 2 number of terms n > an = a x r(n-1)| Nth Term Formula r= 2 2 > 4 > 8 > 16 - > 32 77 step Exqmple 2each 2 x 24 a = 2 a5 = Find 5th term of GP: r =2 २x१६ 2, 4, 8, 16. n = 5 32 q(rn _ 1) Sum Formula Sn (r#1) 3 r= Example 2 2(24-1)/(2 -1) a = 2 $4 Find sum of first 4 terms: 2 /= 2(16 -1) n = 4 2, 4, 8, 16 2*15 30 Each term doubles 2 + 4 + 8 + 161 Infinite_GP If Irl <1 Soo 1 Example 3 a =1 4 So 2 5 3 S 1 २ + + + 2 r= 1+ If multiply pattern] Exam Trick GP > If difference pattern -> AP confusing Common mistakes and d 0 wrong power calculation using wrong formulq rn-1 GP has constant multiplication ratio: EduSphere Academy Page 3 Sequences & Series Part 3:_geometric_progression (GP) Geometric Progression (GP) "A geometric,progression is a sequence where each is obtained by multiplying the previous term term by constant ratio a Basic Terms first term a 2 common ratio (r) 2 number of terms n > an = a x r(n-1)| Nth Term Formula r= 2 2 > 4 > 8 > 16 - > 32 77 step Exqmple 2each 2 x 24 a = 2 a5 = Find 5th term of GP: r =2 २x१६ 2, 4, 8, 16. n = 5 32 q(rn _ 1) Sum Formula Sn (r#1) 3 r= Example 2 2(24-1)/(2 -1) a = 2 $4 Find sum of first 4 terms: 2 /= 2(16 -1) n = 4 2, 4, 8, 16 2*15 30 Each term doubles 2 + 4 + 8 + 161 Infinite_GP If Irl <1 Soo 1 Example 3 a =1 4 So 2 5 3 S 1 २ + + + 2 r= 1+ If multiply pattern] Exam Trick GP > If difference pattern -> AP confusing Common mistakes and d 0 wrong power calculation using wrong formulq rn-1 GP has constant multiplication ratio: EduSphere Academy Page 3 - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_88827_b7acd13_1774467087482_sc.jpg?tenant=sc&referrer=pwa-sharechat-service&f=482_sc.jpg "Educational Updates - Sequences & Series Part 3:_geometric_progression (GP) Geometric Progression (GP) \"A geometric,progression is a sequence where each is obtained by multiplying the previous term term by constant ratio a Basic Terms first term a 2 common ratio (r) 2 number of terms n > an = a x r(n-1)| Nth Term Formula r= 2 2 > 4 > 8 > 16 - > 32 77 step Exqmple 2each 2 x 24 a = 2 a5 = Find 5th term of GP: r =2 २x१६ 2, 4, 8, 16. n = 5 32 q(rn _ 1) Sum Formula Sn (r#1) 3 r= Example 2 2(24-1)/(2 -1) a = 2 $4 Find sum of first 4 terms: 2 /= 2(16 -1) n = 4 2, 4, 8, 16 2*15 30 Each term doubles 2 + 4 + 8 + 161 Infinite_GP If Irl <1 Soo 1 Example 3 a =1 4 So 2 5 3 S 1 २ + + + 2 r= 1+ If multiply pattern] Exam Trick GP > If difference pattern -> AP confusing Common mistakes and d 0 wrong power calculation using wrong formulq rn-1 GP has constant multiplication ratio: EduSphere Academy Page 3 Sequences & Series Part 3:_geometric_progression (GP) Geometric Progression (GP) \"A geometric,progression is a sequence where each is obtained by multiplying the previous term term by constant ratio a Basic Terms first term a 2 common ratio (r) 2 number of terms n > an = a x r(n-1)| Nth Term Formula r= 2 2 > 4 > 8 > 16 - > 32 77 step Exqmple 2each 2 x 24 a = 2 a5 = Find 5th term of GP: r =2 २x१६ 2, 4, 8, 16. n = 5 32 q(rn _ 1) Sum Formula Sn (r#1) 3 r= Example 2 2(24-1)/(2 -1) a = 2 $4 Find sum of first 4 terms: 2 /= 2(16 -1) n = 4 2, 4, 8, 16 2*15 30 Each term doubles 2 + 4 + 8 + 161 Infinite_GP If Irl <1 Soo 1 Example 3 a =1 4 So 2 5 3 S 1 २ + + + 2 r= 1+ If multiply pattern] Exam Trick GP > If difference pattern -> AP confusing Common mistakes and d 0 wrong power calculation using wrong formulq rn-1 GP has constant multiplication ratio: EduSphere Academy Page 3 - ShareChat")