Question Number 46925 by 786786AM last updated on 02/Nov/18
$$\mathrm{The}\:\mathrm{third}\:\mathrm{term}\:\mathrm{of}\:\mathrm{a}\:\mathrm{GP}\:\mathrm{is}\:\mathrm{4}.\:\mathrm{The}\:\mathrm{product} \\ $$$$\mathrm{of}\:\mathrm{first}\:\mathrm{five}\:\mathrm{terms}\:\mathrm{is} \\ $$
Answered by tanmay.chaudhury50@gmail.com last updated on 02/Nov/18
$$\frac{{a}}{{r}},{a},{ar},{ar}^{\mathrm{2}} ,{ar}^{\mathrm{3}} \\ $$$${given}\:\:{ar}=\mathrm{4} \\ $$$$\frac{{a}}{{r}}×{a}×{ar}×{ar}^{\mathrm{2}} ×{ar}^{\mathrm{3}} \\ $$$$={a}^{\mathrm{5}} {r}^{\mathrm{5}} \\ $$$$=\mathrm{4}^{\mathrm{5}} =\mathrm{1024} \\ $$