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Siliveru Anil Kumar
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#Educational Updates
#▶️ తెలుగు వాట్సాప్ స్టేటస్
#💼TSPSC/ APPSC ప్రత్యేకం
#📖ఎడ్యుకేషన్✍
#🏆పోటీ పరీక్షల స్పెషల్
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![Educational Updates - Sequences & Series Part 10: summary & mixed_problems Important Formulas [2a + (n-1)d] (n-1)d AP: Sn n an = a + ೆಕ २ r(n-1) q(rn _ 1) Sn GP: Qn =Q* r-1 Key Concepts] constant difference AP GP constant ratio AP + GP X 7 '7 2, 5, 8 term of AP: 10th Example Find 29 Q = 2 2 + (10-1)x3 2 +27 010 = = = d = 3 2 + 4 + ৪ + 16 Find sum of GP: Example 2 2(24 1) a = 2 2(16 -1) 30 $ = = = 2 E 2 - 1 n = 4 Find sum of first 5 natural numbers : Example 3 5x6 $ = 15 2 Apply formula Question -> Check pattern AP or GP Exam_Trick 1: Identify pattern Step Step 2: Choose formula Step 3: Substitute correctly Common mistakes confusing AP and GP identify pattern first formula selection crlcugotion errors Sequences follow patterns, series give sums EduSphere Academy Page 10 Sequences & Series Part 10: summary & mixed_problems Important Formulas [2a + (n-1)d] (n-1)d AP: Sn n an = a + ೆಕ २ r(n-1) q(rn _ 1) Sn GP: Qn =Q* r-1 Key Concepts] constant difference AP GP constant ratio AP + GP X 7 '7 2, 5, 8 term of AP: 10th Example Find 29 Q = 2 2 + (10-1)x3 2 +27 010 = = = d = 3 2 + 4 + ৪ + 16 Find sum of GP: Example 2 2(24 1) a = 2 2(16 -1) 30 $ = = = 2 E 2 - 1 n = 4 Find sum of first 5 natural numbers : Example 3 5x6 $ = 15 2 Apply formula Question -> Check pattern AP or GP Exam_Trick 1: Identify pattern Step Step 2: Choose formula Step 3: Substitute correctly Common mistakes confusing AP and GP identify pattern first formula selection crlcugotion errors Sequences follow patterns, series give sums EduSphere Academy Page 10 - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_383861_2d325b5e_1774466781961_sc.jpg?tenant=sc&referrer=pwa-sharechat-service&f=961_sc.jpg "Educational Updates - Sequences & Series Part 10: summary & mixed_problems Important Formulas [2a + (n-1)d] (n-1)d AP: Sn n an = a + ೆಕ २ r(n-1) q(rn _ 1) Sn GP: Qn =Q* r-1 Key Concepts] constant difference AP GP constant ratio AP + GP X 7 '7 2, 5, 8 term of AP: 10th Example Find 29 Q = 2 2 + (10-1)x3 2 +27 010 = = = d = 3 2 + 4 + ৪ + 16 Find sum of GP: Example 2 2(24 1) a = 2 2(16 -1) 30 $ = = = 2 E 2 - 1 n = 4 Find sum of first 5 natural numbers : Example 3 5x6 $ = 15 2 Apply formula Question -> Check pattern AP or GP Exam_Trick 1: Identify pattern Step Step 2: Choose formula Step 3: Substitute correctly Common mistakes confusing AP and GP identify pattern first formula selection crlcugotion errors Sequences follow patterns, series give sums EduSphere Academy Page 10 Sequences & Series Part 10: summary & mixed_problems Important Formulas [2a + (n-1)d] (n-1)d AP: Sn n an = a + ೆಕ २ r(n-1) q(rn _ 1) Sn GP: Qn =Q* r-1 Key Concepts] constant difference AP GP constant ratio AP + GP X 7 '7 2, 5, 8 term of AP: 10th Example Find 29 Q = 2 2 + (10-1)x3 2 +27 010 = = = d = 3 2 + 4 + ৪ + 16 Find sum of GP: Example 2 2(24 1) a = 2 2(16 -1) 30 $ = = = 2 E 2 - 1 n = 4 Find sum of first 5 natural numbers : Example 3 5x6 $ = 15 2 Apply formula Question -> Check pattern AP or GP Exam_Trick 1: Identify pattern Step Step 2: Choose formula Step 3: Substitute correctly Common mistakes confusing AP and GP identify pattern first formula selection crlcugotion errors Sequences follow patterns, series give sums EduSphere Academy Page 10 - ShareChat")