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Find three numbers in gp whose sum is 13

WebSolution Let the terms of the the given G.P. be a and ar a r, a and ar . Then, product of the G.P. = 1728 ⇒ a 3 = 1728 ⇒ a = 12 Similarly, sum of the G.P. = 38 ⇒ a r + a + a r = 38 Substituting the value of a 12 r + 12 + 12 r = 38 ⇒ 12 r 2 + 12 r + 12 = 38 r ⇒ 12 r 2 − 26 r + 12 = 0 ⇒ 2 ( 6 r 2 − 13 r + 6) = 0 ⇒ 6 r 2 − 13 r + 6 = 0 WebMar 16, 2024 · According to the question we are given that the sum of three numbers in GP is 38 and the product of these three numbers is 1728. Let the three numbers in GP …

Three numbers are in GP, whose sum is 13 and the sum of …

WebFind three numbers in G.P. whose sum is 13 & sum of those Let us assume that n is an odd number so according to our question the correct equation will be n + (n+2) + … Weblet the 3 numbers be a/r, a and a*r where a is the first term of GP, r is the common ratio. Therefore as per the problem a/r + a +ar =14 eq (1) and (a/r)*a * (ar) =64 or a*a*a = 4*4*4 => a = 4 if we substitute value of a in eq 1 a/r + a + ar = 14 or a* (1/r +1 + r) =14 or 2* (1+r + r^2) = 7*r or 2*r^2 -5*r + 2 =0 or 2*r^2 -4*r -r +2 =0 the taoism grandmaster hindi download https://cathleennaughtonassoc.com

Find three numbers in gp whose sum is 13 - Math Preparation

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. WebSubstitute r in equ (1) we get a ( 1 + 3 + 9) = 13 and a ( 1 + 1 / 3 + 1 /9) = 13 13a = 13 and 13a / 9 = 13 a = 1 and a = 9. Now numbers are a , ar , ar 2. If r = 3 and a = 1 then 1, 3 , … WebMay 22, 2024 · `=> (1+r+r^2)/r = 13/3` `=>3+3r+3r^2 -13r = 0` `=>3r^2-10r+3 = 0` `=>3r^2-9r-r+3 = 0` `=>(3r-1)(r-3) =0` `=> r = 1/3 or r = 3` So, the three numbers are , `4,12 and 36.` Please log inor registerto add a comment. ← Prev QuestionNext Question → Find MCQs & Mock Test Free JEE Main Mock Test Free NEET Mock Test Class 12 Chapterwise MCQ … serial oled screen

Find three numbers in G.P. whose sum is 13 & sum of those squares is 91

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Find three numbers in gp whose sum is 13

Find three numbers in gp whose sum is 13 - Math Index

Web1/r + r + 1 = 13/3 Now , we will subtract 1 both sides 1/r + r + 1 - 1 = 13/3 - 1 ... Find three numbers in G.P. whose product is 729 and the sum of their products in pairs is 819. ... then find the numbers. Q. If the product of three numbers in GP is 216 and the sum of their products in pairs is 156, find the numbers. WebOct 19, 2024 · Best answer Let the three numbers be a/r, a and ar a / r, a and a r . Given that, a/r ⋅ a ⋅ ar = 216 a / r ⋅ a ⋅ a r = 216 , ⇒ a3 = 216, a = 6 ⇒ a 3 = 216, a = 6 . a/r + a + ar = 26 a / r + a + a r = 26 or, 6 + 6r + 6r2 = 26r 6 + 6 r + 6 r 2 = 26 r or, 6r2 − 20r + 6 = 0 6 r 2 - 20 r + 6 = 0 or, 6r2 − 18r − 2r + 6 = 0 6 r 2 - 18 r - 2 r + 6 = 0

Find three numbers in gp whose sum is 13

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WebMar 28, 2014 · Find 3 numbers in G.P whose sum is 13 and the sum of whose square is 91. Find the value of x if 1+6+11 + ..... + = 148; Share with your friends. Share 14. Let the 3 terms of G. P are a, a r, a r 2 Then according to question Sum of … WebFind three terms of G.P. whose sum is 13 and sum of their whole squares is 91. Let the three terms of a G.P. be a, ar, ar2. Hence, the terms of this G.P.

WebSep 19, 2024 · Find three numbers in G.P. whose sum is 13 and the sum of whose squares is 91. - YouTube 0:00 / 7:40 #SEQUENCESANDSERIES #rdsharma #doubtnut Find three … Web[Solved] Find three numbers in GP whose sum is 13 and the Find three terms of G.P. whose sum is 13 and sum of their whole squares is 91. Let the three terms of a G.P. be …

WebThe sum of three numbers in geometric progression is 31 and sum of their squares is 651.Find the numbers. Ask Question Asked 6 years, 2 months ago. Modified 6 years, 2 months ago. Viewed 16k times ... Finding first three terms of a GP whose sum and sum of squares is given? 0. WebOct 29, 2015 · 1 We have to find three numbers in G.P. such that their sum is 13 3 and the sum of their squares is 91 9. Here's what I have tried to do:- a + a r + a r 2 = 13 3 a 2 + a 2 r 2 + a 2 r 4 = 91 9 a 2 + a 2 r 2 + a 2 r 4 a + a r + a …

WebProfit and Loss (13) Quadratic Equations (4) Ratio and Proportion (7) Sequence and Series (2) Simple &amp; Compound Interest (5) Time and Work (12) Time Distance and Speed (6) ... Find three numbers in a GP whose sum is 26 and and product is 216 Asked In exam (8 years ago) Unsolved Read Solution (1)

Web[Solved] Find three numbers in GP whose sum is 13 and the (Show Source):. You can put this solution on YOUR website! 1, 3, and 9. If the sum of the three numbers and the … serial # on computerWebApr 1, 2024 · a × a r × a r 2 = − 1 ⇒ a 3 r 3 = ( − 1) 3. On taking cube root on both sides, we will get, ⇒ a 3 r 3 3 = ( − 1) ⇒ a r = − 1 ⇒ a = − 1 r............ ( 1) Now, it is given in … theta oil servicesWebHow to find three numbers in GP whose sum is 13 and (Show Source):. You can put this solution on YOUR website! 1, 3, and 9. If the sum of the three numbers and the sum of … serial open boWebFind three numbers in G.P. whose sum is 13 and the sum of whose squares is 91. sequences and series class-11 1 Answer +2 votes answered Sep 28, 2024 by Deepak01 (59.0k points) selected Oct 18, 2024 by … serial online ruWebJun 28, 2024 · Find the three numbers in GP whose sum is 13 and the sum of whose squares is 91. class-11 Please log in or register to answer this question. 1 Answer 0 … serial old gcWebMar 6, 2024 · Find three numbers in GP whose sum is 13 and the sum of whose squares is 91. Asked by asingh292002 06 Mar, 2024, 03:05: PM Expert Answer Please … the tao groupWebApr 3, 2024 · Students can check which option is in the form of a GP. Then they can check the conditions given in the question are justified by which option. For example, it is given … theta of venus