Question

number series answer this question
117 121 137 ? 237 337
this is number series
answer this question plz guys i will mark them has a branlist ​

Answer 1

Answer:

173

Step-by-step explanation:

squares of even numbers are added in number

so, answer is 173

Answer 2

173 is the missing number in the series.  

117 121 137 173 237 337

Step-by-step explanation:

Given:

117 121 137? 237 337

To find:

The missing 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, (x₁×2)-5⇒x₂, (x₂×2)-4⇒x₃, (x₃×2)-3⇒x₄, (x₄×2)-2⇒x₅, (x₅×2)-1⇒x₆.

The series is thus formed by adding the numbers (x₁,x₂,x₃,x₄,x₅,x₆) with the square of the even numbers (2²,4²,6²,8²,10²) orderly to make a sequence.

x₁=117

The first number 117 is added with (2²=4). Thus we get 121, the second number x₂.

117⇒121

          ⇒117+2²

          ⇒117+4

          x₂⇒121

The second number 121 is added by (4²=16). Thus we get 137 the third number x₃.

     121⇒137

         ⇒121+4²

         ⇒121+16

          x₃=137

The third number 137 is added with the square of the next even number 6². Thus we get 173, the fourth number.

   137⇒?

         ⇒137+6²

         ⇒137+36

         x₄⇒173

The fourth number 173 is added with the next square of even number 8². Thus, we get 237 the fifth number x₅.

   173⇒237

         ⇒173+8²

         ⇒173+64

        x₅ ⇒237

The fifth number 237 is added with the square of the next even number 10². Thus we get 337, the sixth number x₆.

    237⇒337

          ⇒237+10²

          ⇒237+100

          x₆⇒337

Hence,

The missing number in the series is 173.  

117 121 137 173 237 337