Question

type the missing number in this sequence: 1, □, 64, 512, 4,096, 32,768

Explanation:

Step1: Identify sequence pattern

Check ratio of consecutive terms: $\frac{512}{64}=8$, $\frac{4096}{512}=8$, $\frac{32768}{4096}=8$. The sequence is geometric with common ratio $r=8$.

Step2: Calculate missing term

Multiply first term by 8: $1 \times 8 = 8$
Verify: $8 \times 8 = 64$, which matches the next term.

Answer:

8