Which of the following is NOT a geometric progression?

Question

KollegeApply · Accepted Answer

2, 0, 4, 0, 8, 0 Explanation: A G.P. requires a constant common ratio r = "Term"/"Previous term". (a) Ratios: 1 $\div$ $\frac{1}{3}$ = 3 3 $\div$ 1 = 3 9 $\div$ 3 = 3 $\Rightarrow$ r = 3 (GP) (b) Ratios: Each term divided by the previous = 1 $\Rightarrow$ r = 1 (GP) (c) Ratios: 4 $\div$ (–2) = –2 (–8) $\div$ 4 = –2 16 $\div$ (–8) = –2 $\Rightarrow$ r = –2 (GP) (d) 0 $\div$ 2 = 0 but 4 $\div$ 0 is undefined. So, no single constant r exists. Therefore, 2, 0, 4, 0, 8, 0 is not a GP.

AChoose Your Answer