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arithmetic sequences

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summary
the essence of arithmetic sequences is explored, highlighting their definition, the formula for finding any term in the sequence, and practical applications in solving gmat problems.
  • an arithmetic sequence is defined by the addition of a constant difference to go from one term to the next.
  • the formula for finding the nth term of an arithmetic sequence is a_n = a1 + (n-1)d, where a1 is the first term and d is the common difference.
  • special cases of arithmetic sequences include consecutive integers, consecutive odd or even numbers, and sets of numbers that share a common remainder when divided by a particular divisor.
  • understanding the underlying concept of arithmetic sequences and the derivation of their general formula is crucial for solving related gmat problems.
  • practical examples illustrate how to apply the formula to find specific terms within a sequence and solve typical gmat questions.
chapters
00:00
introduction to arithmetic sequences
00:59
the general formula for arithmetic sequences
04:27
practical applications and problem solving
05:16
advanced problem solving with arithmetic sequences

quiz

word problems