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Possible Answers:. Correct answer:. Explanation : To find the common difference , use the formula. Add the common difference to the first term to get the second term. Report an Error. It cannot be determined from the information given. Explanation : Let be the common difference, and let be the second term. Explanation : For arithmetic sequences, we use the formula , where is the term we are trying to find, is the first term, and is the difference between consecutive terms. Explanation : Let be the common difference of the sequence.
Then , or, equivalently, , or equivalently,. Explanation : The common difference of the sequence is the difference of the tenth and ninth terms:.
Explanation : The eighth and tenth terms of the sequence are and , where is the first term and is the common difference. We can find the common difference by subtracting the tenth and eighth terms and solving for : Now set eighth term equal to 87, set , and solve:.
Find the th term in the following arithmetic sequence. Explanation : Before we can figure out the th term, we need to find a rule for this arithmetic sequence. Remember, the general rule for this sequence is where represents the first number in the sequence, is the common difference between consecutive numbers, and is the -th number in the sequence. So the rule for this sequence is written as Now that we found our rule, we can go on and figure out what the th term is equal to. To find any term of an arithmetic sequence: Where is the first term, is the number of the term to find, and is the common difference in the sequence.
Find the 18th term of the following arithmetic sequence. Explanation : Start by finding the common difference, , in this sequence, which you can get by subtracting the first term from the second. Then, using the formula given before the question:. Find the 26th term of the following arithmetic sequence. Explanation : Start by finding the common difference in terms by subtracting the first term from the second.
Then, fill in the rest of the equation given before the question. Given the the sequence below, what is the 11th term of the sequence? An arithmetic sequence begins 4, 9, 14, 19, 24,. Given the third term of an arithmetic sequence less than the fourth term by three.
The seventh term is two times the fifth term. Find the common difference and the first term. Question 1 Write the first four terms of the sequence whose general term is given. Find the 11th term of the geometric sequence 64, , 16, -8, …. Find the sum of each infinite geometric series, if possible. The 5th term and the 8th term of an arithmetic sequence are 18 and 27 respctively.
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