Question

If the geometric sequence below continues to increase in the same way, what is the next number in the sequence? 2, 6, 18, 54, 162, ... A.243 B.324 C.486 D.729

Answer 1

C

Explanation:

to obtain a term in a geometric sequence the preceding term is multiplied by the common ratio r

r =
`(a_(2) )/(a_(1) )` ( a₂ is the second term 6 and a₁ the first term 2 ) , then

r =
`(6)/(2)` = 3

the next number in the sequence = 162 × 3 = 486