9,27,31,155,161,1127 series
Answers
Answer:
9,27,31,155,161,1127,1135.
Step-by-step explanation:
9
×3=27
+4=31
×5=155
+6=161
×7=1127
+8=1135
1135 is the next number in the series.
9,27,31,155,161,1127, 1135
Step-by-step explanation:
Given:
9,27,31,155,161,1127,.
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,x₇) are the numbers in the series thus x₁, (x₁×3)⇒x₂, (x₂+4)⇒x₃, (x₃×5)⇒x₄, (x₄+6)⇒x₅, (x₅×7)⇒x₆, (x₆+8)⇒ x₇.
The pattern is the first number is multiplied by 3 and gets the second number and added the second number with the next number 4 and thus gets the third number.
Thus the pattern continues as multiplication and addition with number series (3,4,5,6,7,8).
First number x₁=9
The first number 9 is multiplied by 3. Thus we get 27, the second number.
9 ⇒27
⇒(9×3)
x₂⇒27
The second number 27 is added by 4 . Thus we get 31, the third number.
27⇒31
⇒27+4
x₃ ⇒31
The third number 31 is multiplied by 5. Thus we get 155, the fourth number.
31⇒155
⇒31 5
x₄ ⇒155
The fourth number 155 is added by 6. Thus, we get 161, the fifth number.
155⇒161
⇒155+6
x₅⇒161
The fifth number 161 is multiplied by 7 . Thus we get 1127, the sixth number.
161⇒1127
⇒161×7
x₆⇒1127
The sixth number 1127 is added by 8. Thus we get 1135, the seventh number.
The next number in the series is
1127⇒?
⇒1127+8
x₇ ⇒1135
Hence,
The next number in the series is 1135.
9,27,31,155,161,1127, 1135