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intro to sequences

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summary
the essence of sequences in mathematics, particularly for the gmat exam, revolves around understanding their ordered nature, discerning patterns, and applying algebraic formulas to solve related problems.
  • sequences are ordered lists of numbers following identifiable patterns, crucial for solving gmat problems.
  • notation involves representing sequences with a lowercase letter and individual terms with numerical subscripts, where 'n' denotes the position in the sequence.
  • algebraic formulas for sequences allow for the determination of any term in the sequence, providing a method to solve for specific terms or differences between terms.
  • understanding basic sequence patterns, such as sequences of integers, odd numbers, even numbers, multiples, and powers, is foundational.
  • practice problems in the gmat context often involve algebraic sequences defined by fractions or other operations, requiring the test taker to find term values or differences.
chapters
00:00
introduction to sequences
00:55
notation and representation
01:39
algebraic formulas for sequences
04:42
basic patterns and practice problem
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