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Published byBenedict Bryant Modified over 8 years ago
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Algebra II Honors Problem of the Day Homework: p. 879 31-65 odds Find the first 6 terms of the sequence defined as: Fibonacci!
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Partial Sums of a Sequence Often times it is necessary to know the sum of some of the terms in a sequence. For a sequence Partial sums are:
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Summation Notation is used to represent a sum. 1, 4, 9, 16,... Add the first six terms of the above sequence. 1 + 4 + 9 + 16 + 25 + 36 = 91 Summation Notation can be used to represent this sum. i is called the index of the summation 1 is the lower limit of the summation 6 is the upper limit of the summation is the sigma symbol and means add it up
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The upper and lower limits can be any positive integer or zero. The index can be any variable. It tells you where in the equation to substitute the integer values, that begin with the lower limit and increase by one each time until you finish the summation by substituting the upper limit.
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The number of terms in a summation is: upper limit – lower limit + 1
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