Arithmetic Sequences and Series

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant, known as the common difference.

The nth term (Tn) of an arithmetic sequence can be calculated using the formula: Tn = a + (n-1)d, where 'a' is the first term and 'd' is the common difference.

The common difference is 2.

48, 24, 12, 6, 3, ... is NOT an arithmetic sequence.

The 6th term is -17.

The 7th term is 31.

The common difference is the constant amount that each term in the sequence increases or decreases by.

An arithmetic series is the sum of the terms of an arithmetic sequence.

The sum (S_n) of the first n terms can be calculated using the formula: S_n = n/2 * (2a + (n-1)d), where 'a' is the first term and 'd' is the common difference.

An arithmetic sequence is a list of numbers with a common difference, while an arithmetic series is the sum of the terms of that sequence.