The Nth term in a sequence refers to the expression that allows you to find any term in the sequence by plugging in the term number (n). It is usually denoted as an.
To find the Nth term in a sequence, you need to look for a pattern or relationship between the terms. Once you identify the pattern, you can create an expression by substituting the term number (n) into the pattern. This expression will give you the Nth term in the sequence.
The sum of an arithmetic sequence refers to the total value obtained by adding all the terms in the sequence. It is calculated using the formula Sn = n/2[2a + (n-1)d], where n is the number of terms, a is the first term, and d is the common difference between terms.
To find the sum of an arithmetic sequence, you can use the formula Sn = n/2[2a + (n-1)d], where n is the number of terms, a is the first term, and d is the common difference between terms. Alternatively, you can also use the shortcut formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term.
An arithmetic sequence is a sequence where each term is obtained by adding a constant value to the previous term. In contrast, a geometric sequence is a sequence where each term is obtained by multiplying a constant value to the previous term. In other words, the difference between terms in an arithmetic sequence is constant, while the ratio between terms in a geometric sequence is constant.