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5 Cards in this Set
- Front
- Back
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Framework |
Create slots representing n values ___ ___ ___ ___ |
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Look for patterns |
Sequences may be linear or exponential, or they may provide sets of repeating numbers |
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Looking for a far ahead term in a sequence |
Two methods: Calculate the jump (for linear sequences): If each number in a sequence is 3 more than the previous, and the 6th number is 32, then what is the 100th number? You are looking for a number 94 places ahead of the value you're given. (100-6 = 94). And because the relationship between values increases by 3, you can multiply 3 by 94 to see the increase between the 6th and 100th values. 94*3 = 282. Because the question asks what the 100th value is, don't forget to add the increase to the 6th value. Increase 282 + Value 32 = 314 = 100th place.
Predict the pattern (for repeating numbers or exponential sequences): write out the first 6-10 terms and see if a pattern emerges. If numbers repeat, find the anchor point - the first number of the repeating set - and note what n it's attached to. See p. 84 of Algebra. |
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Look for sum of sequence |
1.) Determine if there's a pattern through 6-8 terms. 2.) Determine the start and end of the pattern. Note what nth terms are associated with the start of a cycle and end of a cycle. There will be a quotient and a reminder. 3.) Determine the nth term you need the sum to. Divide that final N by the n that represents the end of one complete pattern cycle. 4.) Add appropriate terms by multiplying sums of one full cycle by quotient and adding remaining terms of the final incomplete sequence. |
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GMAT will ask for either... |
A pattern in the term OR a pattern in the sum. Helpful to draw: Slots for each term Charts for sums of terms |
