How to find the nth term of an Arithmetic Sequence?

What is the formula to find the nth term of an arithmetic sequence?

To determine the nth term of a sequence, employ the formula an=a1+(n−1)d.

What is the nth term of 3,6,9,12?

The given sequence is an Arithmetic Progression. In an AP the successive term differs from its immediate predecessor by a constant value called the Constant Difference. Therefore, nth term of the sequence = 3 +3(n-1).

What are 5 examples of sequences?

Arithmetic Sequence: 2, 5, 8, 11, 14, …

Each term is obtained by adding a fixed number (common difference), in this case, 3, to the previous term.

Geometric Sequence: 3, 6, 12, 24, 48, …

Each term is obtained by multiplying the previous term by a fixed number (common ratio), in this case, 2.

Fibonacci Sequence: 1, 1, 2, 3, 5, 8, 13, …

Each term is the sum of the two preceding terms.

What is the nth term of 2, 4, 6, 8?

The nth term of the sequence 2, 4, 6, 8 is 2n.

What is the rule for 2 4 6 8 10?

The sequence 2, 4, 6, 8, 10 follows a clear pattern: each term is obtained by adding 2 to the previous term. This sequence is an arithmetic sequence with a common difference of 2. Therefore, the rule for this sequence is to add 2 to the previous term to get the next term.



How to find the nth term of an Arithmetic Sequence?

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Answer: Nth term of an Arithmetic Sequence, an = a1 + (N-1)d ⇢ [First term + (Last term – 1)×common difference]

Arithmetic is a part of mathematics that works with different types of numbers, and fractions, applying different operations on numbers like addition, multiplication, etc. The word Arithmetic comes from the Greek word arithmos, which means number. Also arithmetic involves exponentiation, the calculation of percentages, finding the value of number series, logarithmic functions, and square roots, etc....

Arithmetic Progression

There is a series in arithmetic called Arithmetic Progression (AP),  this is a sequence of numbers, where the difference between any two consecutive terms is always the same. Let’s say, a series is 2,4, 6, 8, 10, 12,.., in this series, the difference between any two consecutive numbers is 2. If 2 is added to the previous number then the next number in the series is obtained, similarly, if 2 is subtracted from the next number, the previous number is obtained....

The formula for finding the nth term of an Arithmetic Sequence

To work with this series there are some formulas available, formulas like finding the nth term in the series, and formulas for finding the sum of all the terms in the arithmetic series....

Steps to find the nth term

Step 1: At first find the first and 2nd term, that is a1 and a2....

Sample Problems – How to find the nth term of an Arithmetic Sequence?

Question 1: Find the 9th term of the given series, {1, 4, 7, 10, 13, 16,….}...

How to find the nth term of an Arithmetic Sequence? – FAQs

What is the formula to find the nth term of an arithmetic sequence?...