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6 votes
6 votes
Describe a pattern in the sequence of numbers. Predict the next number.

1.) 256, 64, 16, 4, ... ________.
2.) 2, 6, 18, 54, ... _______

User Lova
by
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2 Answers

17 votes
17 votes


{ \qquad\qquad\huge\underline{{\sf Answer}}}

In the first sequence,

let's take ratio of the next term with its preceding term, so we will get the common ratio ~


\qquad \sf  \dashrightarrow \: \cfrac{4}{16} = (1)/(4)

So, we can imply that The next term of the sequence is 1/4 times the previous term.

hence, the unknown term will be 1/4 times of previous term.

  • That is : 1/4 × 4 = 1

Therefore, the next term here is 1

In the second sequence,

Do the same procedure as above, we will get common ratio as :


\qquad \sf  \dashrightarrow \: \cfrac{18}{6} = 3

So, the next term is 3 times the preceding term, that is :

  • 3 × 54 = 162

Therefore, the next term is 162

User Nack
by
2.9k points
23 votes
23 votes
1.
pattern: divide by 4
next term: 1

2.
pattern: multiply by 3
next term: 162
User Callum
by
2.8k points
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