Question

12,27,85,345,_
a.1737
b 1380
c 1725
d.1731​

Answer 1

Answer:

D

Step-by-step explanation:

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Answer 2

d.1731 is the missing number in the series

12,27,85,345, 1731

Step-by-step explanation:

Given:

12,27,85,345,_

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, (x₁×2)+3⇒x₂, (x₂×3)+4⇒x₃, (x₃×4)+5⇒x₄, (x₄×5)+6⇒x₅.

x₁=12

The first number is multiplied by 2 and added by 3. Thus we get the second number 27.

12 ⇒27

          ⇒(x₁×2)+3⇒x₂

          ⇒(12×2)+3

          ⇒24+3

         x₂ ⇒27

The second number 27 is multiplied by 3 and added from 4. Thus we get 85, add the third number.

     27⇒85

         ⇒(x₂×3)+4⇒x₃

         ⇒(27×3)+4

         ⇒81+4

         x₃⇒85

The third number 85 is multiplied by 4 and added with 5. Thus we get 345 the fourth number.

    85⇒345

        ⇒(x₃×4)+5⇒x₄

        ⇒(85×4)+5

        ⇒340+5

       x₄ ⇒345

The fourth number 345 is multiplied by 5 and added with 6. Thus, we get 1731 the fifth number.

   345⇒?

         ⇒(x₄×5)+6⇒x₅.

         ⇒(345×5)+6

         ⇒1725+6

         x₅⇒1731

The next number in the series is 1731

Hence,

The next number in the series is 1731

12,27,85,345, 1731