The first three terms of an arithmetic series are x-1, 5x-3, 4x+5. Find the sixth term

cjortiz141t

cjortiz141t

Answered question

2022-09-06

The first three terms of an arithmetic series are x-1, 5x-3, 4x+5. Find the sixth term

Answer & Explanation

mercuross8

mercuross8

Beginner2022-09-07Added 16 answers

It should be
5 x - 3 - ( x - 1 ) = 4 x + 5 - ( 5 x - 3 ) 4 x - 2 = 8 - x 5 x = 10 x = 2
Hence the first three terms are 2 - 1 = 1 , 5 2 - 3 = 7 , 4 2 + 5 = 13
So it is an arithmetic series with first term a 1 = 1 and ratio r=6
hence
a 6 = a 1 + ( 6 - 1 ) 6 = 1 + 30 = 31

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