Mathematical and Physical Journal
for High Schools
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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 \frac{225}{43}. Find the fourth and sixth terms.

(6 pont)

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: 5+\frac1a=\frac{225}{43}, és 6+\frac{43}{225}=b. Ezekből a=\frac{43}{10} és b=\frac{1393}{225}.


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.

Problems in Mathematics of KöMaL, October 2008