Math, asked by sauravraj1305, 9 months ago

9,27,31,155,161,1127 series​

Answers

Answered by nawal1740101
6

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

Answered by swethassynergy
3

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

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