Math, asked by vijay27566, 1 year ago

13, 17, 25, 32, 37, 47, ?

Answers

Answered by ankita6916
67
Answer is 58.
Logic =Previous number + Sum of digit
13+1+3=17
17+1+7=25
25+2+5=32
32+3+2=37
37+3+7=47
47+4+7=58
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Answered by swethassynergy
6

58 is the next number in the series.

13, 17, 25, 32, 37, 47, 58

Step-by-step explanation:

Given:

13, 17, 25, 32, 37, 47, ?

To find:

The next number in the series.

Solution:

This series is a numerical sequence in which the numbers are arranged orderly and make a sequence.

The pattern is (x₁,x₂,x₃,x₄,x₅,x₆) are the numbers in the series.

The pattern of this series is the (x₁,x₂,x₃,x₄,x₅,x₆) number is added with (unit digit number + ten-digit number). Thus we get the next number.

x₁⇒13

The first number 13 is added with (unit digit number + ten-digit number). Thus we get 17 the second number x₂.

x₂⇒13+(1+3)

   ⇒13+4

  x₂⇒17

The second number 17 is added with (unit digit number + ten-digit number). Thus we get the third number x₃.

         ⇒17+(1+7)

        ⇒17+8

          x₃⇒25

The Third number 25 is added with (unit digit number + ten-digit number). Thus we get 32 the fourth number x₄.

         ⇒25+(2+5)

         ⇒25+7

        x₄ ⇒32

The fourth number 32 is added with (unit digit number + ten-digit number). Thus we get 37 the fifth number x₅.

        ⇒32+(3+2)

        ⇒32+5

       x₅⇒37

The fifth number 37 is added with (unit digit number + ten-digit number). Thus we get 47 the sixth number x₆.

         ⇒37+(3+7)

         ⇒37+10

         x₆⇒47

The sixth number 47 is added with (unit digit number + ten-digit number). Thus we get the seventh number x₇.

          ⇒47+(4+7)

          ⇒47+11

          x₇⇒58

The next number in the series is

13, 17, 25, 32, 37, 47, 58

Hence,

The next number in the series is 58.  

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