Question

Suppose the first term of a geometric sequence is multiplied by a nonzero constant, c. What happens to the following terms in the sequence? What happens to the sum of this geometric sequence? (This question has one right answer.) Give an example of a geometric sequence to illustrate your reasoning. (Many answers are possible.)

Answer 1

@Nurali

Answer 2

http://openstudy.com/study#/updates/5098b8c4e4b02ec0829c912c

Answer 3

here's the deal...
i didn't really got the question,now if the question wants to say that only the first
term is multiplied not all with c the answer will be a.c + {sum of rest of the term using gp} as the common difference don't remain same for the first term. gp becomes from the next term onwards ,
and if the question wants to say that the first term as well as all the terms are multiplied by c the the ans is simple c{sum of all the terms of gp}