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

imagine a geometric sequence:
\(a_0,a_1,a_2,a_3\cdots a_n\)
now express it other way:
\(a_0,a_0q,a_0q^2,a_0q^3\cdots a_0q^n\)
this is from definition of what geometric sequence is.
What happens if I multiply \(a_0\) by let say \(C\):
\(Ca_0,Ca_0q,Ca_0q^2,Ca_0q^3\cdots Ca_0q^n\)
I think now it is clear enough, so you can finish the rest

Answer 2

still confused