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MAO 5.25abc(6.25abc 01 ) Geom. tallfølge

MAO 5.25abc(6.25abc 01 ) Geom. tallfølge. a1 a2 a3 a4 a5 5000 5225 5705,83 5962,59 6230,91. a) a 1 = 5000, k=1,045 n=2 eller 20. a 3 = a 1 *k 3-1 = 5000*(1,045) 3-1 = 5460,13. a 21 = a 1 *k 21-1 = 5000*(1,045) 21-1 = 12.058,57.

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MAO 5.25abc(6.25abc 01 ) Geom. tallfølge

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  1. MAO 5.25abc(6.25abc01) Geom. tallfølge a1 a2 a3 a4 a55000 5225 5705,83 5962,59 6230,91 a) a1 = 5000, k=1,045 n=2 eller 20 a3 = a1*k3-1 = 5000*(1,045)3-1 = 5460,13 a21 = a1*k21-1 = 5000*(1,045)21-1 = 12.058,57 b) ??? 5000 NV til 5000 som utbet om 5 år = 5000/1,045= 4109,64 NV til 5000 som utbet om 20 år = 5000/1,0420=2281,93 c) Finn sluttbeløp av 5000 i beg. av hvert år i 15 år 14 5000 5000 5000 5000 . . . . 5000 sluttbeløp? S15=a1*(kn-1)/(k-1) =5000*(1,0515-1)/(1,05-1) = 107.892,82

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