What is the formula for sum …
CBSE, JEE, NEET, CUET
Question Bank, Mock Tests, Exam Papers
NCERT Solutions, Sample Papers, Notes, Videos
Posted by Amit Kumar 4 years, 3 months ago
- 2 answers
Gaurav Seth 4 years, 3 months ago
Let ‘a’ be the first term and ’r’(≠) be the common ratio of the given G.P.The general teams of G.P. If Sn denotes the sum of ‘n’ terms, then,
Sn = a((1 - rn)/(1 - r)) r ≠ 1
This can also written as
Sn = a((rn - 1)/(r - 1))
Note: (1) Sn = a + ar + ar2 +….. +arn-1
(2) If r = 1, then Sn = a + a + a +……………+a – na
(3) If r = 1, then formulas for Sn fail
(4) If r < 1, then use Sn = a((1 - rn)/(1 - r))
(5) If r > 1, use Sn = a((rn - 1)/(r - 1))
(6) Sum of an infinite G.P.,a + ar + ar2 + ..... is a/(1 - r), - 1 r < 1
(7) If a, b, c are in G.P.then ‘b’ is the G.M. (geometric mean) between a and c, then b2 = ac ⇒ b = √ac
(8) If A and G are A.M. and G.M. of two given distinct positive real numbers, then relation between A and G is A > G.
Related Questions
Posted by Sana Dharwad 7 months, 2 weeks ago
- 0 answers
Posted by Ananya Sv 7 months, 3 weeks ago
- 1 answers
Posted by Manoj Thakur 7 months, 2 weeks ago
- 0 answers
Posted by Sethpoulou Apoulou 7 months, 3 weeks ago
- 0 answers
Posted by Gurleen Kaur 7 months, 3 weeks ago
- 0 answers
Posted by Ashish Chaudhary 7 months, 2 weeks ago
- 1 answers
Posted by Sabin Sultana 7 months, 2 weeks ago
- 0 answers
myCBSEguide
Trusted by 1 Crore+ Students
Test Generator
Create papers online. It's FREE.
CUET Mock Tests
75,000+ questions to practice only on myCBSEguide app
Śěřãj The Cute? 4 years, 3 months ago
1Thank You