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4,7,12,19,31,... does this classify as a arithmetic, geometric, or neither

User Amit Vyas
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1 Answer

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To find if a series is either geometric or arithmetic:
it must satisfy this property:

Arithmetic:

a(n+1) - a(n) = const

Geometric:

a(n+1)/a(n) = const

In your case:

r1 = 7 -4 = 3

r2 = 12 - 7 = 5

r1 != r2 (not arirthmetic)

Geometric check:

r1 = 7/4

r2 = 12/7

r1 != r2 (not Geometric)

so neither.


User Artparks
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