How do you find the algebraic expression of a sequence?

How To: Given the first three terms and the last term of a finite arithmetic sequence, find the total number of terms.

1. Find the common difference d .
2. Substitute the common difference and the first term into an=a1+d(n−1) a n = a 1 + d ( n − 1 ) .
3. Substitute the last term for an and solve for n .

What is the nth term rule for this sequence 2 4 6 8?

2n
In the sequence 2, 4, 6, 8, 10… there is an obvious pattern. Such sequences can be expressed in terms of the nth term of the sequence. In this case, the nth term = 2n.

What kind of sequence is 2 4 16?

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 gives the next term. In other words, an=a1⋅rn−1 a n = a 1 ⋅ r n – 1 .

What is the algebraic form?

Definition of algebraic form : a homogeneous rational integral function of two or more variables.

What is the general rule that describe by the sequence 2 4 6 8 10?

Thus, the sequence of even numbers 2, 4, 6, 8, 10, is an arithmetic sequence in which the common difference is d = 2. It is easy to see that the formula for the nth term of an arithmetic sequence is an = a +(n −1)d.

What is the nth term of 3n 2?

3n*2 is the nth term formula. The nth term formula allows you to find any number in a sequence. For example, the 5th number in the sequence will be 3(5)*2 = 30.

Is 2 4 8 16 are in AP justify your answer?

REQUIRED ANSWER :- 2 is the common difference . Hence it is an AP . 4 is the common difference . Hence it is an AP.

What type of sequence is 200 40 8?

The sequence is Geometric.

Which of the following are ap right YES or NO 2 4 8 16?

2 is the common difference . Hence it is an AP . 4 is the common difference . Hence it is an AP.

How to solve simplifying algebraic expression?

Solution: 1 Remove parentheses by multiplying factors. = (x * x) + (1 * x) + (2 * x) + (2 * 1) 2 Combine like terms by adding coefficients. (x * x) = x 2 (1 * x) = 1x (2* x) = 2x 3 Combine the constants. (2 * 1) = 2 4 Therefore, Simplifying Algebraic Expression is solved as

How do you find the next term in an arithmetic sequence?

In this case, adding 2 2 to the previous term in the sequence gives the next term. In other words, an = a1 +d(n−1) a n = a 1 + d ( n – 1). This is the formula of an arithmetic sequence. Substitute in the values of a1 = 2 a 1 = 2 and d = 2 d = 2. Simplify each term. Tap for more steps… Apply the distributive property. Multiply 2 2 by − 1 – 1.

What is algebraic expressions calculator?

Algebraic Expressions Calculator An online algebra calculator simplifies expression for the input you given in the input box. If you feel difficulty in solving some tough algebraic expression, this page will help you to solve the equation in a second.

Is 2 2 4 4 6 6 6 8 8 10?

2 2, 4 4, 6 6, 8 8, 10 10 This is an arithmetic sequence since there is a common difference between each term. In this case, adding 2 2 to the previous term in the sequence gives the next term. In other words, an = a1 +d(n−1) a n = a 1 + d (n – 1).