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Sequences and Series Cheat Sheet. sequence is a list of terms. For example, 3, 6, 9, 12, 15, ... series is the sum of a list of terms. For example, 3 + 6 + 9 + 12 + 15 + ... The terms of a sequence are separated by a comma, while with a series they are all added together.
When we talk about an "infinite sum", we are really talking about a limit. In this case, we are talking about the limit of the "partial sums" of the series. The partial sums are: s1 = 1; s2 = 1 + 2; s3 = 1 + 2 + 4; ⋮ That is, sn is the sum of the first n summands in the series.
The series of numbers 1, 2, 4, 8, 16 ... is an example of a geometric sequence, sometimes called a geometric progression (GP). Each term in the progression is found by multiplying the previous number by 2. Such sequences occur in many situations; the multiplying factor does not have to be 2.
The series of numbers 1, 2, 4, 8, 16 ... is an example of a geometric sequence, sometimes called a geometric progression (GP). Each term in the progression is found by multiplying the previous number by 2. Such sequences occur in many situations; the multiplying factor does not have to be 2.
Free sequence calculator - step-by-step solutions to help identify the sequence and find the nth term of arithmetic and geometric sequence types.
Learn how to solve 1,2,4,8,16. Tiger Algebra's step-by-step solution shows you how to find the common ratio, sum, general form, and nth term of a geometric sequence.
Supercharge your algebraic intuition and problem solving skills! A geometric progression (GP), also called a geometric sequence, is a sequence of numbers which differ from each other by a common ratio. For example, the sequence 2, 4, 8, 16, \dots 2,4,8,16,… is a geometric sequence with common ratio 2 2.
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