Question

6. Which table shows a geometric sequence? 1 4 3 Term 2 5 3 Term 1 2 4 ur A © Value 15 30 45 60 60 75 Value 9 | 18 | 27 36 45 Term 1 3 4 2 5 Term 4 1 Ол 2 3 B D Value 2 16 128 1024 | 8192 Value 220 260 300 340 380

Answer 1

For the geometric sequence, there is a common ratio between the terms

that mean the quotient of two consecutive terms = constant

So, lets check the options:

Table A: 30/15 = 2 and 45/30 = 1.5

So, Table A is not a geometric sequence

Table B : 16/2 = 8 and 128/16 = 8

So, table B is geometric sequence

Table C : 18/9 = 2 and 27/18 = 1.5

So, table C is not a geometric sequence

Table D : 260/220 = 1.18 and 300/260 = 1.15

So, table D is not a geometric sequence

So, the answer is B