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Arithmetic Sequences

The essence of arithmetic sequences is explored, highlighting their definition, the formula for finding any term in the sequence, and practical applications in solving GRE problems.
  • An arithmetic sequence is defined by adding a constant value, known as the common difference, to each term to get the next term.
  • 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.
  • This formula is crucial for solving GRE problems that ask for specific terms in a sequence or for sequences that represent sets of numbers with specific properties.
  • Understanding the derivation of the formula is emphasized over mere memorization to deepen comprehension and application skills.
  • Examples and practice problems demonstrate how to apply the formula to find specific terms in a sequence and to solve problems involving sequences that fit certain criteria.
Understanding Arithmetic Sequences
The Formula for Arithmetic Sequences
Applying the Formula: Practice Problems