Properties of a Geometric Sequence

Question

A geometric sequence is defined by an initial term $$g_0 = 4$$ and a common ratio $$r = 0.5$$. Consider the following statements:

I. The term at index 4 is $$g_4 = 4(0.5)^4 = 0.25$$.
II. The sequence is decreasing.
III. The sum of the corresponding infinite geometric series is $$S_\infty = \frac{4}{1-0.5} = 8$$.

Which of the above statements are true?

Accepted Answer

All three statements are true.

Answer

Only Statements I and III are true.

Answer

Only Statements I and II are true.

Answer

Only Statement I is true.

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	raffigaribian	1	1	0m 33s	67
#2	aarav.arora1509	1	1	0m 35s	65
#3	28halkasawneh	0	1	0m 00s	-10
#4	meenakshiswapna2296	0	1	0m 39s	-49
#5	steineris260	1	4	41m 35s	-2,425

Properties of a Geometric Sequence

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