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
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