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. Web1 apr. 2024 · If the 5th term of a G.P is 2, then the product of first 9 terms is. Q2. Three distinct numbers x, y, z form a G.P. in that order and the number x + y, y + z, z + x form an A.P. in that order. Find the common ratio of the G.P. Q3. In a G.P. tenth term is 9 and fourth term is 4, then its seventh term will be-. Q4.
class 11 cbse - How many terms of GP 3, 3 2 , 3 4 ……. are …
WebHow Many Terms of the G.P. 3, 3/2, 3/4, ... Be Taken Together to Make 3069 512 ? Department of Pre-University Education, Karnataka PUC Karnataka Science Class 11. … WebThe 3rd and the 8th term of a G. P. are 4 and 128 respectively. Find the G. P. A. 2,3, 4,5 B. 1,2,4,8 C. -12,144,-1728, D. -1,2,-4,8 Answer: Option B Explanation: Let a be the first term and r be the common ratio of the G. P., then ar 3 = 8 … (1) ar 7 =128 … (2) Dividing 2 by 1: r 4 = 16 r = 2 putting r=2 in equation (1) we get a=1. how to view 1610 on dts
[Solved] Which term of GP 3, 6 ,12, 24, .... is 3072? - Testbook
Web22 mrt. 2024 · We know that an = arn 1 where an = nth term of GP n is the number of terms a is the first term r is the common ratio Here, first term a = 3 common ratio r = 3/ 3 = 3 nth term = 729 Putting values an = arn 1 729 = ( 3 ) ( 3 )^ ( 1) 729 = ( 3 )^ (1+ 1) 729 = ( 3 )^ 3^6 = ( 3 )^ Squaring both sides (36)2 = ( 3)^2 36 2 = [ ( 3)^2 ]^ 312 = [3]^ … WebYou are given the first term (A), the common ratio (R) and an integer N. Your task is to find the Nth term of the GP series. The general form of a GP(Geometric Progression) series is A, A(R), A(R^2), A*(R^3) and so on where A is the first term of GP series Note : As the answer can be large enough, return the answer modulo 10^9 + 7. Web10 feb. 2024 · Application of Geometric Progression is in physics, engineering, biology, economics, computer science, queueing theory, and finance that’s why Geometric Progression Questions and Answers is important to know. Geometric Progression Questions are in the form a, ar, ar², ar³ and so on. The First term is denoted as = a. how to view 1921 census for free online