Question

7,16,44,129,385,? find the next number​

Answer 1

Answer:

71,64,41,29,386

there you go

Answer 2

1157 is the next number in the series

7,16,44,129,385, 1157

Step-by-step explanation:

Given:

7,16,44,129,385,?

To find:

The next 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 x₁, (x₁×2)-5⇒x₂, (x₂×2)-4⇒x₃, (x₃×2)-3⇒x₄, (x₄×2)-2⇒x₅, (x₅×2)-1⇒x₆.
• The pattern of this series is the first number is multiplied by 2 and subtracted by 5. Thus we get 9, so add the first number and 9 makes the 16-second number.
• 7 ⇒16

           ⇒(7×2)-5

           ⇒(14-5)=9

           ⇒7+9=16

• The second number 16 is multiplied by 2 and subtracted from 4. Thus we get 28, add the second number 16 with 28 we get 44 the third number.

      16⇒44

          ⇒(16×2)-4

          ⇒32-4=28

          ⇒16+28=44

• The third number 44 is multiplied by 2 and subtracted from 3. Thus we get 85, add the third number with 85 we get 129 the fourth number.

     44⇒129

         ⇒(44×2)-3

         ⇒(88-3)=85

         ⇒44+85

         ⇒129

• The fourth number 129 is multiplied by 2 and subtracted from 2. Thus we get 256, add the fourth number with 256 we get 385 the fifth number.

    129⇒385

          ⇒(129×2)-2

          ⇒258-2=256

          ⇒256+129

          ⇒386

• The fifth number 385 is multiplied by 2 and subtracted from 1. Thus we get 771, add the fifth number with 771 we get 1157 the sixth number.
• The next number in the series is

     386⇒(386×2)-1

           ⇒772-1=771

           ⇒386+771

           ⇒1157

Hence,

The next number in the series is 1157.