Answered

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I need help determineing the next number.?!

I Need Help Determineing The Next Number class=

Sagot :

Ashraf82

Answer:

The next number is -12 ⇒ B

Step-by-step explanation:

Let us solve the question

∵ The pattern is 2,916, -972, 324, -108, 36, ....

→ All the given numbers are divisible by 3 because the sum of

  the digits of each number can divide by 3

  • 2+9+1+6 = 18 → multiple of 3
  • 9+7+2 = 18 → multiple of 3
  • 3+2+4 = 9 → multiple of 3
  • 1+0+8 = 9 → multiple of 3
  • 3+6 = 9 → multiple of 3

∵ The pattern has positive and negative numbers

∴ Each next term = the previous term ÷ -3

→ Let us do that to find the missing number

∵ 2916 ÷ -3 = -972

∵ -972 ÷ -3 = 324

∵ 324 ÷ -3 = -108

∵ -108 ÷ -3 = 36

→ Find the next number by divide 36 by -3

∵ 36 ÷ -3 = -12

∴ The next number is -12

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