Home

 Solve any problem (step by step solutions) Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution
 For geometric progression f( 1 ) = 2 , f( 4 ) = 54 then find f( 3 ) and S( 3 ). [ Calculator, Method and examples ]Solution:Your problem -> For geometric progression f( 1 ) = 2 , f( 4 ) = 54 then find f( 3 ) and S( 3 ).We know that, a_n = a × r^(n-1)Here a_1 = 2=> a × r^(1 - 1) = 2=> a × r^0 = 2=> a = 2 ->(1)a_4 = 54=> a × r^(4 - 1) = 54=> a × r^3 = 54 ->(2)Solving (1) and (2), we get a = 2 and r = 3We know that, a_n = a × r^(n-1)a_3 = 2 × 3^(3 - 1)= 2 × 9= 18We know that, S_n = a * (r^n - 1)/(r - 1):. S_3 = 2 × (3^3 - 1)/(3 - 1)=> S_3 = 2 × (27 - 1)/2=> S_3 = 2 × 26/2=> S_3 = 26

Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me