How do you find the formula for the general term of a sequence?

Answer: The general term of the sequence is n(2n-1).

What is the nth term rule of the linear sequence of 2 5 8?

2 , 5 , 8 , 11 , 14 , . . . Answer: The sequence is increasing by 3 each time so compare the sequence with the multiples of 3 (3,6,9,12,15…). You will then need to minus 1 from the multiples of 3 to give the numbers in the sequence. So the nth term is 3n – 1.

What is a general term formula?

Given an arithmetic sequence with the first term a1 and the common difference d , the nth (or general) term is given by an=a1+(n−1)d .

What is the nth term of an arithmetic sequence 2 5 8?

Nth term will be 3n-1.

What is general term sequence?

What is the general term of the sequence? The general term of a sequence a n a_n an​ is a term that can represent every other term in the sequence. It relates each term is the sequence to its place in the sequence. For example, given the sequence. { − 1 , − 2 , − 3 , − 4 , − 5 , . . . }

How do you find the general term of the sequence?

Answer: The general term of the sequence is an = 3n^2 − n + 2. The sequence is quadratic with second difference 6. The general term has the form an = αn^2+βn+γ.To find α, β, γ plug in values for n = 1, 2, 3: 4 = α + β + γ. 12 = 4α + 2β + γ. 26 = 9α + 3β + γ. and solve, yielding α = 3, β = −1, γ = 2.

How do you find the formula of an arithmetic sequence?

For the formulas of an arithmetic sequence, it is important to know the 1st term of the sequence, the number of terms and the common difference. Now, Arithmetic Sequence Formulas. n th Term Formula. a n = a 1 + (n – 1)d. Sum of First n Terms.

How do you find the common difference of a sequence?

It is obvious that each number after the first is five more than the preceding term. Meaning, the common difference of the sequence is five. Usually, the formula for the nth term of an arithmetic sequence whose first term is a 1 and whose common difference is d is displayed below. a n = a 1 + (n – 1) d.

How do you find the nth term of an arithmetic sequence?

Usually, the formula for the nth term of an arithmetic sequence whose first term is a 1 and whose common difference is d is displayed below. 1. Create a table with headings n and a n where n denotes the set of consecutive positive integers, and a n represents the term corresponding to the positive integers.