Arithmetic Sequence Calculator helps to calculate the first five terms in an arithmetic progression. If a set of numbers follows a specific sequence it is known as a progression. Show What is Arithmetic Sequence Calculator?Arithmetic Sequence Calculator is an online tool that helps to compute the first five terms of an arithmetic progression when the first term and the common difference are known. To use the arithmetic sequence calculator, enter the values in the given input boxes. Arithmetic Sequence CalculatorNOTE: Please enter the values up to three digits only. How to Use Arithmetic Sequence Calculator?Please follow the steps below to find the terms in an arithmetic progression using the arithmetic sequence calculator:
How Does Arithmetic Sequence Calculator Work?An arithmetic progression (AP) can be defined as a sequence where the difference between two consecutive terms is the same. In an AP new terms can be obtained by adding a fixed number to its previous term. There can be many types of progressions in mathematics such as geometric progressions and harmonic progressions. The terms of an AP follow the sequence given below: AP = a, a + d, a + 2d, a + 3d, a + 4d, ..... Here, a denotes the first term of the AP while d is the common difference between two successive terms. The nth term of an AP is given by a general representation as follows: an = a + (n - 1)d. The steps to find the different terms of an AP, if we know the first term and the common difference, are given below:
Want to find complex math solutions within seconds? Use our free online calculator to solve challenging questions. With Cuemath, find solutions in simple and easy steps. Book a Free Trial Class Solved Examples on Arithmetic SequenceExample 1: Find the arithmetic sequence up to 5 terms if the first term(a) = 6, and common difference(d) = 7. Verify the result using the arithmetic sequence calculator. Solution: Given: a = 6, d = 7 an = a + (n - 1)d a1(first term) = 6 + (1 - 1)7 = 6 + 0 = 6 a2(second term) = 6 + (2 - 1)7 = 6 + 7 = 13 a3(third term) = 6 + (3 - 1)7 = 6 + 14 = 20 a4(fourth term) = 6 + (4 - 1)7 = 6 + 21 = 27 a5(fifth term) = 6 + (5 - 1)7 = 6 + 28 = 34 Therefore, the arithmetic sequence is {6, 13, 20, 27, 34 ...} Example 2: Find the arithmetic sequence up to 5 terms if the first term(a) = 2.5, and common difference(d) = 1.1. Verify the result using the arithmetic sequence calculator. Solution: Given: a = 2.5, d = 1.1 an = a + (n - 1)d a1(first term) = 2.5 + (1 - 1)1.1 = 2.5 + 0 = 2.5 a2(second term) = 2.5 + (2 - 1)1.1 = 2.5 + 1.1 = 3.6 a3(third term) = 2.5 + (3 - 1)1.1 = 2.5 + 2.2 = 4.7 a4(fourth term) = 2.5 + (4 - 1)1.1 = 2.5 + 3.3 = 5.8 a5(fifth term) = 2.5 + (5 - 1)1.1 = 2.5 + 4.4 = 6.9 Therefore, the arithmetic sequence is {2.5, 3.6, 4.7, 5.8, 6.9, ...} Similarly, you can try the arithmetic sequence calculator to find the terms of the arithmetic progression for the following:
☛ Math Calculators: See a solution process below: The arithmetic sequence formula is: #a_n = a_1 + (n – 1)d# Where: #a_n# is the nth term in the sequence #a_1# is the first term in the sequence #n# is the term you are solving for #d# is the common difference for any pair of consecutive numbers in the sequence. First Term or #n = 1#: This is given in the problem. #a_1 = 5# Second Term or #n = 2#: Substitute #2# for #n# in the formula and substitute the values from the problem giving: #a_2 = 5 + ((2 – 1) xx 6)# #a_2 = 5 + (1 xx 6)# #a_2 = 5 + 6# #a_2 = 11# Fifth Term or #n = 5#: Substitute #5# for #n# in the formula and substitute the values from the problem giving: #a_5 = 5 + ((5 – 1) xx 6)# #a_5 = 5 + (4 xx 6)# #a_2 = 5 + 24# #a_2 = 29# Using this same process you should be able to determiner the What is arithmetic calculator?A calculator is a device that performs arithmetic operations on numbers. Basic calculators can do only addition, subtraction, multiplication and division mathematical calculations.
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