Question

18, 27, 45, 63, 99?​

Answer 1

117 is the missing number in the series

18, 27, 45, 63, 99 , 117

Step-by-step explanation:

Given:

18, 27, 45, 63, 99?​

To find:

The missing number in the series.

Solution:

• This series is a numerical sequence in which the numbers are arranged in an orderly manner makes a sequence.
• The pattern is (x₁,x₂,x₃,x₄,x₅,x₆) are the numbers in the series thus  (9×2)⇒x₁, (9×3)⇒x₂, (9×5)⇒x₃, (9×7)⇒x₄, (9×11)⇒x₅, (9×13)⇒x₆.

The first number 18 is obtained by multiplying by 9 and with prime number 2 consequently. Thus we get multiplies of 9, so we get the first number.

          ⇒x₁⇒18

          ⇒(9×2)

          ⇒18

The second number 27 is obtained by multiplying by 9 and with prime number 3 consequently. Thus we get multiplies of 9, so we get the second number.

     18⇒27

         ⇒(9×3)

         ⇒27

The third number 45 is obtained by multiplying by 9 and with prime number 5 consequently. Thus we get multiplies of 9, so we get the third number.

    27⇒45

        ⇒(9×5)

        ⇒45

The fourth number 63 is obtained by multiplying by 9 and with prime number 7 consequently. Thus we get multiplies of 9, so we get the fourth number.

    45⇒63

         ⇒(9×7)

         ⇒63

The fifth number 99 is obtained by multiplying by 9 and with prime number 11 consequently. Thus we get multiplies of 9, so we get the fifth number.

    63⇒99

           ⇒(9×11)

          ⇒99

The sixth number 99 is obtained by multiplying by 9 and with prime number 13 consequently. Thus we get multiplies of 9, so we get the sixth number.

The next number in the series is (9×13)

                                                      ⇒117

Hence,

The next number in the series is 117.

18, 27, 45, 63, 99 , 117