priscilla89 said:The Attempt at a Solution
(a) a6 = 26000 + (6 - 1) 1250
(b) S6 = 6/2 (26000 + 1250)
An arithmetic sequence is a sequence of numbers where the difference between consecutive terms is constant. This constant difference is called the common difference and is denoted by "d". For example, in the sequence 2, 5, 8, 11, 14, the common difference is 3.
To solve Corey's arithmetic sequence homework, you will need to identify the common difference and the first term of the sequence. Then you can use the formula "an = a1 + (n-1)d" where "an" is the nth term of the sequence, "a1" is the first term, and "d" is the common difference. Plug in the values and solve for the missing term.
If you are unable to find the common difference, you can use the formula "d = (an - a1)/(n-1)" where "an" is any term in the sequence and "a1" is the first term. Plug in the values and solve for "d".
Yes, you can check your answer by plugging in the values of the first term, common difference, and the term you solved for into the formula "an = a1 + (n-1)d". If the result matches the given value, then your answer is correct.
Yes, there are a few shortcuts or tricks that can make solving arithmetic sequences easier. Some of these include finding the average of consecutive terms, using patterns or symmetry in the sequence, or using algebraic equations to solve for missing terms. However, it is important to understand the basic formula and concept of arithmetic sequences before using these shortcuts.