Please Show your work so I can follow your logic, understand and follow along. P

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Please Show your work so I can follow your logic, understand and follow along. Please avoid skipping steps and compressing them into one step. I am looking to actually learn from this, not just get any answer that I can't verify for myself. This is how I will determine the best answer and award more stars. I will refund my points completely if you give me just an answer alone with no real guidance, or if you do something close to that.

An arithmetic sequence of 40 terms a1, a2, ...,a40 has a17 = 25 and a33 = 121. Find the sum of the sequence. A geometric sequence of 20 terms terms a1, a2, ..., a20 has a12 = 42 and a18 = 336. Find the sum of the sequence. Let Write out the first five terms of S. Use either the subtraction technique or derivative technique shown in class to find the value of S. (Essentially, T is the first 20 terms of S.) Use the work in your solution for 3 to determine T. Do not solve for a decimal value of T. Instead, given an expression for T in terms of the various constants involved in the problem.

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1a)

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