Question

The terms between two non consecutive terms of an arithmetic sequence are called

Answer 1

An arithmetic sequence is a sequence where the difference between any two consecutive terms is a constant. The constant between two consecutive terms is called the common difference. The common difference is the number added to any one term of an arithmetic sequence that generates the subsequent term..

Answer 2

An arithmetic progression is a term that occurs between two non-consecutive terms in an arithmetic sequence.

Step-by-step explanation:

• It is possible to obtain a formula for the nth term from an arithmetic progression. Each phrase, with the exception of the first, is obtained by adding a set integer to the previous term in an arithmetic progression.
• The formula for finding Arithmetic sequence in a progression is:

$a_n=a_1+(n-1)d$

Terms used:

1. First-term: The first term of an AP is the progression's initial number, as the name implies. It is commonly denoted by the letters $a_1$ (or) a.
2. Common difference: We know that an AP is a sequence in which each term, except the first, is obtained by multiplying the previous term by a specified number. The "fixed number" is referred to as the "common difference" and is indicated by the letter 'd'.
3. Arithmetic Progression is a general term (Nth Term): The common difference is d, and the general term (or) nth term of an AP whose initial term is a.