![]() a n -4n 3 Given the arithmetic sequence, determine the formula and the 12th term -2,1.5,5,8.5,12,15. The 1st book costs 1 dollar, the 2nd, 2 dollars, the 3rd, 4 dollars, and the 4th, 8 dollars, and so on. Calculate the product of the first 5 terms of the sequence: Solution of exercise 6. It’s most convenient to begin at n 0 and set a 0 1500. Calculate the sum of the terms of the following geometric sequence: Solution of exercise 5. The problem allows us to begin the sequence at whatever n value we wish. The table of values give us a few clues towards a formula. The random variable \( X \) associated with a geometric probability distribution is discrete and therefore the geometric distribution is discrete. What is the domain and range of the following sequence Given the formula for the arithmetic sequence, determine the first 3 terms and the 8th term. Solution This problem can be viewed as either a linear function or as an arithmetic sequence. ![]() The geometric probability distribution is used in situations where we need to find the probability \( P(X = x) \) that the \(x\)th trial is the first success to occur in a repeated set of trials. Solution: This problem is similar to example 6. Geometric Probabilities Distributions Examples For example, in the geometric sequence 2, 6, 18, 54, 162,, the ratio is always 3. Example 2: Write a geometric sequence with five (5) terms wherein the first term is latex0.5/latex and the common ratio is late圆/latex.
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