Jul 4, 2024 · Two common types of mathematical sequences are arithmetic sequences and geometric sequences. An arithmetic sequence has a constant difference between each consecutive pair of terms.

Introduces arithmetic and geometric sequences, and demonstrates how to solve basic exercises. Explains the n-th term formulas and how to use them.

A sequence is a list of numbers or objects, called terms, in a certain order. In an arithmetic sequence, the difference between one term and the next is always the same.

Learn the difference between arithmetic and geometric sequences, their formulas, solved examples, and how to identify them. Master sequences for exams like JEE.

equence $ ratio r. e nth term of both kinds of sequences. For an arithmetic sequence we get the nth term by adding d to the first term n 1 times; for a geometric sequenc multi 2 2 times.

May 12, 2025 · Arithmetic sequences add the same number to each term to get the next term. Geometric sequences multiply each term by the same number to find the next term. Some …

Nov 1, 2025 · Arithmetic sequences are defined by an initial value and a common difference, with the same number added or subtracted to each term. Geometric sequences are defined by an initial value …

We now turn to the question of finding closed formulas for particular types of sequences. If the terms of a sequence differ by a constant, we say the sequence is arithmetic. If the initial term (\ (a_0\)) of the …

In this article, we will explore these sequences and learn how to write terms for both arithmetic and geometric sequences. We will also learn how to solve some practice problems.

Jul 23, 2025 · These concepts give rise to the sequences known as arithmetic progression and geometric progression. Consider a sequence 1, 3, 5, 7, ..... Notice that in this sequence, the …