what is the next number in the sequence? 3….9….27….81….
243 is the next number in the sequence.
Quick Scoop: What’s Going On Here?
You’re looking at the sequence:
3 … 9 … 27 … 81 … ?
This is a classic geometric pattern where each term is obtained by multiplying the previous one by 3.
- 3 × 3 = 9
- 9 × 3 = 27
- 27 × 3 = 81
So to get the next number:
- 81 × 3 = 243
Therefore, the next term in the sequence 3, 9, 27, 81, … is:
243 🎯
Mini Breakdown
- This sequence has a constant ratio of 3 between consecutive terms (each term divided by the previous term equals 3).
- In math terms, it’s a geometric sequence with first term 3 and common ratio 3, so the nnn-th term can be written as 3×3n−1=3n3\times 3^{n-1}=3^{n}3×3n−1=3n.
So if you think of it as powers of 3:
- 3 = 313^{1}31
- 9 = 323^{2}32
- 27 = 333^{3}33
- 81 = 343^{4}34
Next is 35=2433^{5}=24335=243.
TL;DR
The pattern is “multiply by 3 each time,” so the next number after 3, 9, 27, 81 is 243.
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