kfsdgte的部落格

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唔識Geometric Progression , 等比數列

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1) the 3rd term T(3) and 6th term T(6) of a G.P are 400 and 6.25 respectively a) Find the first term a and the common ratio Rb) Find the sum of the first 6term S(6)c) Find the sum to infinity S(∞) 2) a) Give The Ganeral Term of g.p is T(n)=3 N-1, find the 4th term T(4) of the G.Pb) Consideer the arithmetic... 顯示更多 1) the 3rd term T(3) and 6th term T(6) of a G.P are 400 and 6.25 respectively a) Find the first term a and the common ratio R b) Find the sum of the first 6term S(6) c) Find the sum to infinity S(∞) 2) a) Give The Ganeral Term of g.p is T(n)=3 N-1, find the 4th term T(4) of the G.P b) Consideer the arithmetic series 4+8+12+...... i)Find The first trem a and common difference d ii) Find the sum of the first 5 terms s(5)

最佳解答:

1a)let a be the first term a/400=400/6.25 a=25600 let r=ratio third term=400=ar^2 400=(25600)r^2 r=0.125 b)sum of six term =25600(1-(0.125)^6)/(1-0.125) =29257.03125... c)sum of infinity\ =25600/(1-0.125) =29257.14286.... 2a)T(4)=3(4)-1 =11 bi)first term=4 d=8-4 =4 bii)s(5)=4x5=20 sum=(4+20)5/2 =60

其他解答:9B623C59CC17F40C