Table of Contents
How do you find the fifth term in a sequence?
Step 1: The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula. Step 2: Now, to find the fifth term, substitute n = 5 into the equation for the nth term.
What is the 5th term of a sequence?
The 5th term of a sequence is defined as the term with n = 5. So for this sequence, a sub 5 = 5/6.
What is the 17th term in the arithmetic sequence?
The formula for nth of an arithmetic series is: an=a1+(n−1)(d) Here, a1=16,d=4,n=17. So, a17=16+(17−1)(4) =16+64.
What is the term to term rule for 2 5 10 17?
What is the nth term of the sequence 2, 5, 10, 17, 26…? This is the required sequence, so the nth term is n² + 1.
What is the 7th geometric sequence?
The nth term of the geometric sequence is given by: an = a · rn – 1, Where a is the first term and r is the common ratio respectively. Therefore, the 7th term of the geometric sequence a7 is 1/16.
What is the sum of the first 20 terms of the arithmetic sequence?
Find the values of the sequence’s first term, u1, and of its common difference, d. The sum of the first 20 terms of an arithmetic sequence is 550.
What is the sequence rule?
Number sequences are sets of numbers that follow a pattern or a rule. If the rule is to add or subtract a number each time, it is called an arithmetic sequence. If the rule is to multiply or divide by a number each time, it is called a geometric sequence. Each number in a sequence is called a term.
What are the next two terms of the sequence 2 5 10 17?
Answer: The next three terms of the series 2, 5, 10, 17, 26,… are 37, 50, and 65. Let’s solve this step by step.
Which is the fifth term of an arithmetic sequence?
An arithmetic sequence has fifth term equal to 1 and ninth term equal to − 7. Find this sequence’s first term and common difference. An arithmetic progression has tenth term equal to 8 and second term equal to 4. Find its first term and its common difference. An arithmetic sequence has first term u 1 = 11 and seventh term u 7 = − 13.
How to find the nth term of a sequence?
To find the nth term of a geometric sequence: 1 Calculate the common ratio raised to the power (n-1). 2 Multiply the resultant by the first term, a. More
When do you find a rule in a sequence?
Finding general rules helps find terms in sequences. Number sequences are sets of numbers that follow a pattern or a rule. If the rule is to add or subtract a number each time, it is called an arithmetic sequence. If the rule is to multiply or divide by a number each time, it is called a geometric sequence.
What are the values of a geometric sequence?
With our geometric sequence calculator, you can calculate the most important values of a finite geometric sequence. These values include the common ratio, the initial term, the last term and the number of terms. Here’s a brief description of them: Initial term: First term of the sequence,