Tell whether the sequence 1,1 1/6,1 1/3,1 1/2 is arithmetic and if it is, what is the common difference

Nigro6f

Nigro6f

Answered question

2022-10-29

Tell whether the sequence 1 , 1 1 6 , 1 1 3 , 1 1 2 is arithmetic and if it is, what is the common difference

Answer & Explanation

inmholtau5

inmholtau5

Beginner2022-10-30Added 16 answers

a = 1 , a 2 = 1 ( 1 6 ) , a 3 = 1 ( 1 3 ) , a 4 = 1 ( 1 2 ) , . . .
Common Difference d = a 2 - a = 1 ( 1 6 ) - 1 = ( 1 6 )
d = a 3 - a 2 = 1 ( 1 3 ) - 1 ( 1 6 ) = 1 6
d = a 4 - a 3 = 1 ( 1 2 ) - 1 ( 1 3 ) = 1 6
Hence it's an Arithmetic Sequence with c.d. = d = 1 6

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