The image contains three geometric sequences and asks to determine the common ratio and find the sum of the terms for each sequence. Here's a breakdown of the problems:

1. Sequence 1:

   • Terms: 4, 12, 36, 108, ...
   • Find the sum up to 7 terms.

2. Sequence 2:

   • Terms: 2, 6, 18, 54, 162, ...
   • Find the sum up to 7 terms.

3. Sequence 3:

   • Terms: 7, 14, 28, 56, ...
   • Find the sum up to 8 terms.

Steps:

The sum of a geometric sequence is given by the formula: $S_n = a \times \frac{1 - r^n}{1 - r}$ where:

• $a$ = first term,
• $r$ = common ratio,
• $n$ = number of terms.

Let’s calculate each one.

Would you like me to proceed with the detailed calculations for each sequence?