Which is the 15th term of the sequence

Answer Detailed Solution Below Option 3 : Given: Arithmetic Progression is 20, 15, 10, Get Started for Free Download App. More Arithmetic Progression Questions Q1. Also, find 10th term of the AP. If the sum of the first 25 terms of the arithmetic progression is and that of the next 25 terms is Find the common difference.

If 1st and 3rd terms of an A. P are 1 and 15 respectively, then find the sum of first 10 term of that A. Find the sum of the first natural numbers. What will be the 15th number in the following series of A. More Progression Questions Q1. If the A. The sum of 9 even consecutive number What is the sum of the last 3 consecutive numbers? Suggested Test Series. More Quantitative Aptitude Questions Q1.

The average speed of Columbus. Which of the following fractions is the largest? 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:. 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. In our problem,. Also, each time we move up from one number to another, the number increases by 7. 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.

For the th term,. Where is the first term, is the number of the term to find, and is the common difference in the sequence. Start by finding the common difference, , in this sequence, which you can get by subtracting the first term from the second. The 11th term means there are 10 gaps in between the first term and the 11th term.

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Hanley Rd, Suite St. Louis, MO Subject optional. Email address: Your name:. Algebra 1 Help » Functions and Lines » Sequences » How to find the nth term of an arithmetic sequence. 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? Possible Answers: Correct answer: Explanation : The 11th term means there are 10 gaps in between the first term and the 11th term. The first term is 1. Copyright Notice. View Algebra Tutors.