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Transcript:

SEQUENCEPTION

Use logic to find the missing terms in the sequences below

There are a total of five sequences.
The missing terms of each sequence form another sequence.
Find the sixth term of that sequence.

1. 42 26 15 8  4  _
2. 4  6  8  9  10 _
3. 30 24 27 30 24 _
4. 10 10 20 30 50 _
5. 3  4  33 40 77 _
                  _

SHIVANSH SHARMA

Use logic to find the missing terms in the sequences. For any clarification, comment down below.

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2 Answers 2

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Partial answer:

# 1 is the reverse sequence of A000125 - 2 is the next number

# 2 is the sequence of composite numbers - 12 is the next number

# 3 is the sequence formed by cycling through the list [30, 24, 27] - 27 is the next number

# 4 is the sequence formed by multiplying the Fibonacci numbers by 10 - 80 is the next number

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    $\begingroup$ for the fifth and sixth, I could craft an arbitrary construction that would produce both the given output and any next output I want $\endgroup$
    – teed
    Sep 7, 2020 at 8:25
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I think the answer you are looking for is 15

The first four numbers have been explained by teed as 2,12,27,80. The last number is 150 because 3+4+33=40 4+33+40=77 and so 33+40+77=150

So the sequence formed as a result, if you look at the digits go as 2+1+2+2=7 7+8+0=15 and so 15+0=15

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