Geometric or arithmetic or neither ?

Sequence 1 is an 'Arithmetic but not Geometric Sequence'

Sequence 2 is 'Geometric but not Arithmetic Sequence'

Step-by-step explanation:

We know that,

1. Arithmetic Sequence is a sequence in which the difference of one term and the next term is a same constant for all terms.

2. Geometric Sequence is a sequence in which the division of two terms gives the same value for all terms.

Now, we check the above properties in the given options,

In Sequence 1 i.e. , . . . .

We see that the difference between the terms comes out to be ,

for eg. =

But, the division of two terms gives different values,

for eg. and

Hence, this sequence is not a Geometric Sequence but an Arithmetic Sequence.

In Sequence 2 i.e. , . . . .

We see that the difference of terms is not same constant but are different values,

for eg. =   and =

But, the division of different terms gives same constant i.e. ,

for eg. .

Hence, this sequence is not a Arithmetic Sequence but a Geometric Sequence.

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step-by-step explanation: