WebQ. If the first term of a GP is 5 and the sum of the first three terms is 31/ 5, find the common ratio. Q. 15. If the first term of a G.P. is 5 and the sum of the first three terms is 31/5 then find the common ratio. 16. In a GP, the ratio of the sum of first 3 terms to the sum of first 6 terms is 125:152. Find the common ratio of the GP. WebExample 9 Find the 10th and nth terms of the G.P. 5, 25125, . 5, 25125, We know that an = arn 1 where an = nth term of GP n is the 24/7 Live Specialist Math can be a difficult …
Find the tenth term of G.P : 5,25,125,....... - Toppr Ask
WebFind the 10thand nth term of GP. : 5, 25, 125, ……. First term (a) = 5 Common ratio (r) = = nth term in the GP (an) = arn-1 an = 5 (5 n-1 = 5n 10th term in the GP (a10) = ar10-1 … WebHere, t 1 = a = 5, r = t t t 2 t 1 = 25 5 = 5, t n = 5 10. t n = ar n–1. ∴ 5 10 = 5 x 5 (n–1) ∴ 5 10 = n 5 ( 1 + n - 1) ∴ 5 10 = 5 n. ∴ n = 10. ∴ 5 10 is the 10 th term of the G.P. Concept: … tara rutherford mercury paper
Geometric sequences calculator that shows steps - mathportal.org
WebA geometric progression (GP) can be written as a, ar, ar 2, ar 3, … ar n – 1 in the case of a finite GP and a, ar, ar 2,…,ar n – 1 … in case of an infinite GP. We can calculate the sum to n terms of GP for finite and infinite GP using some formulas. Also, it is possible to derive the formula to find the sum of finite and finite GP separately. WebClick here👆to get an answer to your question ️ Find the tenth term of G.P : 5,25,125,..... Solve Study Textbooks Guides. Join / Login >> Class 11 >> Applied Mathematics >> … WebThe formula to find the sum to infinity of the given GP is: S ∞ = ∑ n = 1 ∞ a r n − 1 = a 1 − r; − 1 < r < 1. Here, S∞ = Sum of infinite geometric progression. a = First term of G.P. r = Common ratio of G.P. n = Number of terms. This formula helps in converting a recurring decimal to the equivalent fraction. tara rutherford