The next number in the series 38, 36, 30, 28, 22 is ?

totalmente80sm9 2021-11-21 Answered
The next number in the series 38, 36, 30, 28, 22 is ?

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Expert Answer

Ched1950
Answered 2021-11-22 Author has 1394 answers
Step 1
The terms in the given sequence follow the pattern: minus two, minus six, minus two, minus six, minus, and so on. Based on this pattern then
\(\displaystyle{38}-{2}={36}\)
\(\displaystyle{36}-{6}={30}\)
\(\displaystyle{30}-{2}={28}\)
\(\displaystyle{28}-{6}={22}\)
\(\displaystyle{22}-{2}={20}\)
Hence, the next number is 20.
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Thouturs
Answered 2021-11-23 Author has 902 answers
Step 1
20 is the next number in the series 38, 36, 30, 28, 22. This is obtained by studying the given series of numbers for patterns since there is no common difference between each number.
The first term of the series is 38, and all subsequent numbers have a difference of two or six.
The series is decreasing and not increasing. The last number is 22, and the number before 22 is 28.
The difference between them is six. Hence, the next number should have a difference of two.
The equation \(\displaystyle{22}-{2}={20}\) provides the next number in the given series of numbers.
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user_27qwe
Answered 2021-11-25 Author has 1849 answers

Step 1

Given series 38,36,30,28,22:

Write alternate numbers, we get two different series,

1) \(38,\ 30,\ 22,\ \cdots\)

Here, common diference \(=30-38=22-30=-8\)

2) \(36,\ 28,\ \cdots\)

common difference \(=28-36=-8\)

Therefore, next number in this series \(=28-8=20\)

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