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,