List the five terms of the sequence a_1=6 , a_n+1 = 5*a_n-3
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List the five terms of the sequence a_1=6 , a_n+1 = 5*a_n-3

[From: ] [author: ] [Date: 12-04-14] [Hit: ]
...hmm.........
by a_1 i mean a sub 1. i know that the answers are: 1, 2, 7, 32, 157
but i do not know how to get those answers. thanks to anybody who can help.

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a_1 = 6 , a_2 = 5 [6]-3....hmm...did you copy correctly ?...no ...a_1 = 1

a_2 = 5 [1] - 3 = 2 , a_3 = 5 [ 2 ] - 3 = 7 , a_4 = 5 [ 7] - 3 = 32 etc..

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a_1=6 , a_(n+1) = 5*a_n - 3 so
a_2 = 5*a_1 - 3 = 5*6 -3 = 27
a_3 = 5*a_2 - 3 = 5*27 - 3 = 132
a_4 = 5*a_3 - 3 = 5*132 - 3 = 657
a_5 = 5*a_4 - 3 = 5*657 - 3 = 3282
1
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