The image contains five geometric sequences with missing terms that need to be identified. Let's analyze each sequence and find the missing terms.

Problem Analysis and Solution:

1. Sequence 1: $\_, 32, 16, 8$

   • To find the missing term, determine the common ratio: $\text{Common ratio} = \frac{16}{32} = \frac{1}{2}$
   • So, the sequence is multiplying each term by $\frac{1}{2}$. To find the first term: $32 \times \frac{1}{\frac{1}{2}} = 64$
   • The missing term is 64.

2. Sequence 2: $100, 50, 25, \_$

   • Common ratio: $\frac{50}{100} = \frac{1}{2}$
   • Continuing the pattern: $25 \times \frac{1}{2} = 12.5$
   • The missing term is 12.5.

3. Sequence 3: $-2, \_, -8, -32$

   • Common ratio: $\frac{-8}{-2} = 4$
   • To find the second term: $-2 \times 4 = -8$
   • The missing term is -8.

4. Sequence 4: $\_, -16, -64, -256$

   • Common ratio: $\frac{-64}{-16} = 4$
   • To find the first term: $-16 \times 4 = -4$
   • The missing term is 4.

5. Sequence 5: $\frac{1}{3}, \frac{2}{5}, 2, 3$

   • Common ratio: $2$
   • To find the common ratio: $\frac{-1}{-2} = 1$
   • The missing term is 3.

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