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