NDA | Mathematics | GP

Let  be a GP if  then  equals:

Consider the following statements :

1) If each term of a GP is multiplied by same non–zero number, then the resulting sequence is also a GP.

2) If each term of a GP is divided by same non–zero number, then the resulting sequence is also a GP.

Which of the above statements is/are correct?

The third term of a GP is 3 . What is the product of its first five terms?

If A, G and H are the arithmetic mean, geometric mean and harmonic mean of the two numbers respectively. Then find the relation between A, G, and H.

Find the value of the series