Question

find the next number in the series. 2,29,93,218,434,?

Answer 1

Answer:

843

Step-by-step explanation:

I hope its right answer

Answer 2

777 is the next number in the series

2,29,93,218,434, 777

Step-by-step explanation:

Given:

2,29,93,218,434,777

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 thus x₁, (x₁+3³)⇒x₂, (x₂+4³)⇒x₃, (x₃+5³)-3⇒x₄, (x₄+6³)⇒x₅, (x₅+7³)⇒x₆.
• The pattern of this series is the addition of cubic numbers (3³,4³,5³,6³,7³) with each term that is (x₁,x₂,x₃,x₄,x₅,x₆) we get the sequence.

x₁=2

2⇒29

          ⇒(29-2)

          ⇒27

          ⇒3³

          ⇒2+27 =29

The second number 29 is obtained by the addition of the first term x₁ with 3³. Thus we get 29.

     29⇒93

         ⇒93-29

         ⇒64

         ⇒4³

         ⇒64+29 =93

The third number 93 is obtained by the addition of second term x₂ with 4³. Thus we get 93.

    218⇒93

         ⇒(218-93)

         ⇒125⇒5³

         ⇒125+93 =218

The fourth number 218 is obtained by the addition of the third term x₃ with 5³. Thus we get 218.

   434⇒218

         ⇒(434-218)

         ⇒216⇒6³

        ⇒218+216 =434

The fifth number 434 is obtained by the addition of the fourth term x₄ with 6³. Thus we get 434.

The sixth number 777 is obtained by the addition of the fifth term x₅with 7³. Thus we get 777.

The next number in the series is

        ⇒(7³=343)

        ⇒434+343

        ⇒777

Hence,

The next number in the series is 777.