MHB Sums of arithmetic progressions

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    Arithmetic Sums
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The discussion focuses on solving two mathematical problems involving arithmetic progressions. The first problem requires finding the fourth term of the sequence of partial sums for the sequence defined by the formula {5 + (3/2)n}. The second problem involves calculating the total distance a bicycle rider travels downhill, starting at 7 feet in the first second and increasing by 6 feet each second over 9 seconds. Participants are encouraged to share their attempts at solving these problems to facilitate better assistance. The thread emphasizes the importance of clear titles and limiting the number of questions in initial posts.
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1). Find the fourth term of the sequence of partial sums for the given sequence.
{5+ 3\2 n}

2). A bicycle rider coasts downhill, traveling 7 feet the first second. In each succeeding second, the rider travels 6 feet farther than in the preceding second. If the rider reaches the bottom of the hill in 9 seconds, find the total distance traveled.

S=________ feet
 
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We ask that you post no more than two questions in the initial post of a thread. I have split your latest 4 questions into two threads.

We also ask that you give your thread a title that briefly describes the questions being asked. I have retitled your threads.

And we also ask that when you post questions, you show what you have tried, so we know where you are stuck. Can you show what you've tried for these problems?
 
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