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
