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aleksandr82 [10.1K]
3 years ago
6

Which of the following is most likely the next step in the series 5a, 10B, 15c, 20D

Mathematics
2 answers:
vredina [299]3 years ago
8 0

The given series ⇒ 5a, 10B, 15c, 20D

Each term consists of a number and letter.

It may be divided into (5 , 10 , 15 , 20 , ......) and ( a , B , c , D , ........)

The series of numbers is arithmetic series.

The first term (a) is 5 and the common difference (d) is 5

It has a general equation = a + (n-1)d

So, next step in the series is the fifth term = a + (5-1)d = 5 +(5-1) ×5 = 25 ⇒⇒ (1)

The series of letters is the sequence of letters from a to z but with the sequence is ( capital , small , capital , ....)

So, next step in the series will be the letter after D in small case

Which is = e ⇒⇒(2)

From (1) and (2)

<u>∴ The next step in the series ( 5a, 10B, 15c, 20D) is ⇒⇒⇒ 25e  </u>

Ivan3 years ago
4 0
25E.................
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