<prompt> Mfuatano a_1, a_2, a_3, dots, umefafanuliwa kwa kujirudia na a_1 1, a_2 1, na kwa k ge 3,a_k frac13 a_k - 1 frac14 a_k - 2.Tathmini a_1 a_2 a_3 dotsb.  <response>: Acha S a_ 1 a_2 a_3 dotsb. KishaanzaalignS a_1 a_2 a_3 a_4 a_5 dotsb 1 1 kushoto frac13 a_2 frac14 a_1 kulia kushoto frac13 a_3 frac1 4 a_2 kulia kushoto frac13 a_4 frac14 a_3 kulia vidoti 2 frac13 a_2 a_3 a_4 dotsb frac14 a_1 a_2 a_3 dotsb 2 frac13 S - 1 frac14 S.endalignKutatua kwa S, tunapata S 4. 