Arithmetic is a branch of mathematics. Arithmetic includes different mathematical operations such as addition, subtraction, multiplication and division. Learn the basics of arithmetic with examples at BYJU’S.
Discover the arithmetic sequence definition and how math uses it. Know its formula and how to solve problems relating to it through sample...
For example, the sequence 3, 18, 13, 18, 23, 28, 33 is an arithmetic progression with a common difference of 5. The formal definition of an arithmetic sequence, or arithmetic progression, defines it as a sequence of numbers in which each subsequent number is the sum of the preceding num...
An “arithmetic progression” (AP) is a series of numbers when any two subsequent numbers have a constant difference. Arithmetic Sequence is another name for it. An arithmetic sequence is a succession of numbers in which, for each pair of consecutive terms, the second number is produced by ...
When we are given the first term a_1 of an arithmetic sequence, the recursive formula is given by a_n = a_(n-1) + d. What is the formula used for arithmetic sequence? An arithmetic sequence with the first term being a_1 and common difference d has general term a_n = a_1 + ...
Example 3: Using the sum of arithmetic sequence formula, calculate the sum of the first 20 terms of the sequence 1, 5, 9, 13, ……Solution:Here, a1 = 1, d = 4 and n = 20.Using the sum of arithmetic series formula,Sn=n2[2a1+(n−1)d]=202[2(1)+(20−1)4]=10×(2+...
Sequences are the list of numbers with specific rules. Learn about sequence definition, rules, patterns in sequences and examples of different sequences, here at BYJU’S.
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A number pattern is a pattern or sequence of numbers that follow a certain rule or order. Learn number patterns using a number line, dots and examples!
Common Difference of Arithmetic Progression: We know that an AP is a sequence where each term, except the first term, is obtained by adding a fixed number to its previous term. Here, the “fixed number” is called the “common difference” and is denoted by 'd' i.e., if the first ...