(a_4=54), (a_9=13122)
[ ar^3=54,\quad ar^8=13122 ] [ r^5=\dfrac{13122}{54}=243=3^5\implies r=3 ] [ a\cdot27=54\implies a=2 ]
G.P.: (2,6,18,54,\ldots)
General term: (a_n=2\cdot3^{n-1})
Answer: (2,6,18,\ldots);\ (a_n=2\cdot3^{n-1})
11TH•Mathematics•Sequences And Series•Question 6
Overview
If the 4th and 9th terms of a G.P. are 54 and 13122 respectively. Find the G.P. Also find its general term.
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