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Select the number from among the given options that can replace the question mark (?) in the following series.
6, 6, 8, 24, 28, 140, ?
144
146
145
148
Let’s dig into this sequence: 6, 6, 8, 24, 28, 140, ?
- Start at the first two numbers: 6, 6. No change.
- Next, 6 to 8. That’s +2.
- 8 to 24. That’s ×3.
- 24 to 28. That’s +4.
- 28 to 140. That’s ×5.
Now, notice a pattern:
- Add 2, ×3, add 4, ×5, ...
- The adds increase by 2 each time: +2, +4, so next should be +6.
- The multiplies go up by 2 each time: ×3, ×5, next would be ×7.
Here are the steps:
- After 28 and ×5, we got 140.
- Next operation should be +6: 140 + 6 = 146.
? Option 2, 146, is the answer.
Options in context:
- 144: That would be +4, already used.
- 145: Not from this pattern.
- 146: This fits perfectly.
- 148: Doesn’t fit the pattern.
By: santosh ProfileResourcesReport error
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