Guess the nature!

Algebra Level pending

In a sequence, if the sum of first 'n' terms is given by S n = 2 n p 1 { S }_{ n }\quad =\quad { 2 }^{ np }-1 where 'p' is a fixed real number. The nature of the sequence is

Harmonic Progression Arithmetico-Geometric Progression Geometric Progerssion Arithmetic Progression

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