It seems you've uploaded an image with a math question. Let me analyze it and provide you with assistance.

The image appears to be part of a question that asks about sequences, arithmetic progressions, and determining specific terms. I'll focus on the sequence provided:

• A sequence is given as $A = \sum_{k=1}^{\infty} 3 \left( \frac{1}{2} \right)^{k-1}$, and there are further tasks to determine terms in the sequence.

Let me break this down step by step. Would you like me to first explain how to find the nth term for this type of sequence or would you prefer to work through a different part of the question? Feel free to let me know how you'd like to proceed.

If you have any specific part you'd like more detail on, I can certainly help with that too!

Related Questions:

1. How do you derive the general formula for the nth term of a geometric sequence?
2. What is the formula for the sum of the first n terms in a geometric series?
3. How do you determine the common ratio in a geometric sequence?
4. How do you identify if a sequence is arithmetic or geometric?
5. What is the 15th term in a geometric progression?

Tip: When dealing with geometric sequences, always identify the common ratio first, as it allows you to find both individual terms and the sum of terms more easily!