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www.reference.com/article/arithmetic-sequence-8622b9668a69568f

An arithmetic sequence is a sequence of numbers where there is a definitive pattern between the consecutive terms of the series. In general, arithmetic sequences can be represented by x = a + d(n - 1).

www.reference.com/article/arithmetic-geometric-formulas-680270e4f60820e

Arithmetic formulas originate from the need to determine the value or position of a specific term within an arithmetic sequence, where the difference between successive terms is a constant d, such as "an = a1 - (n - 1)d." Geometric formulas are derived from a similar ne...

www.reference.com/article/calculate-sum-arithmetic-sequence-70f916b0feb7b8d6

Calculate the sum of an arithmetic sequence with the formula (n/2)(2a + (n-1)d). The sum is represented by the Greek letter sigma, while the variable a is the first value of the sequence, d is the difference between values in the sequence, and n is the number of terms i...

www.reference.com/article/calculate-geometric-mean-2753eae7a9bfb7c9

To calculate geometric mean for a set of numbers, multiply the numbers together, and take the nth root of this product. Only calculate the geometric mean when all of the numbers in a set are nonzero and positive.

www.reference.com/article/arithmetic-sequences-used-daily-life-2491bf2c03ae9106

Arithmetic sequences are used in daily life for different purposes, such as determining the number of audience members an auditorium can hold, calculating projected earnings from working for a company and building wood piles with stacks of logs. Arithmetic sequences are...

www.reference.com/article/real-life-geometric-sequence-examples-d61422de22f5ff4d

There are many uses of geometric sequences in everyday life, but one of the most common is in calculating interest earned. Mathematicians calculate a term in the series by multiplying the initial value in the sequence by the rate raised to the power of one less than the...

www.reference.com/article/explicit-formula-geometric-sequence-12a861c315df903a

The explicit formula for a geometric sequence is a_n = a_1 * r^(n-1). The variable a_n is equal to the value of the nth term in the given geometric sequence, while a_1 is the value of the first term in the sequence.