ConceptFunctions & Sequences
← All conceptsRecurrences, summation techniques, and an from Sn
5 ways this goes wrong. Each one is a named misconception the questions are built to catch.
- Alternating sign ignoredSums a (-1)n sequence as if all terms were positive, or mispairs terms.→
- Auxiliary sequence not constructedFails to build the transformed/auxiliary sequence needed to solve a recurrence.→
- Mixed-sum parts not separatedFails to split a term into arithmetic and geometric parts before summing.→
- Periodic index reduction errorMisidentifies the period or reduces the index modulo the period incorrectly for a trig-defined sequence.→
- an=Sn-Sn-1 index errorErrs forming an from consecutive partial sums (index or first-term special case).→
