What would be the next number in the pattern? 64, 16, 4, 1... A) 1/3 B) 1/5 C) 1/4 D) 1

Question

asked Jun 16, 2017 124k views

2 Answers

Saltandwater · Answer 1 · 2017-06-21T15:10:01+0000

Answer: The next term in the given pattern is
(1)/(4).

Step-by-step explanation: We are given to find the next number in the following pattern :

64, 16, 4, 1, . . .

We see that,

if a(n) denotes the nth number i the given pattern, then

a(1) = 64, a(2) = 16, a(3) = 4, a(4) = 1, . . .

That is,

(a(2))/(a(1))=(a(3))/(a(2))=(a(4))/(a(3))=~~.~~.~~.~~=(1)/(4).

Therefore, we get

$(a(5))/(a(4))=(1)/(4)\\\\\\\Rightarrow (a(5))/(1)=(1)/(4)\\\\\\\Rightarrow a(5)=(1)/(4).$

Thus, the next term in the given pattern is
(1)/(4).