Problem K. 178. (October 2008)
K. 178. From the second term onwards, the nth term of a sequence of numbers is obtained by adding n to the reciprocal of the preceding term of the sequence. The fifth term is . Find the fourth and sixth terms.
Deadline expired on November 10, 2008.
Sorry, the solution is available only in Hungarian. Google translation
Megoldás. Jelöljük a sorozat negyedik tagját a-val, hatodik tagját b-vel! A feladat feltételei szerint: , és . Ezekből és .
238 students sent a solution. 6 points: 176 students. 5 points: 17 students. 4 points: 24 students. 3 points: 3 students. 2 points: 4 students. 1 point: 1 student. 0 point: 5 students. Unfair, not evaluated: 8 solutions.