Question

If the product of first 5 terms of a G.P is 243, then the third term is

Answer 1

Step-by-step explanation:

let the term of gp be a/r², a/r, a, ar, ar²

now,

product of 5term = 243

a/r²×a/r×a×ar×ar²= 243

a⁵×r³×1/r³= 243

a⁵= 243

a⁵= 3⁵

a= 5

hence the 3rd term be 5

#666

Answer 2

Answer:

let the terms are a/r^2,a/r,a,ar,ar^2

here r is the common ratio

so,

a/r^2*a/r*a*ar*ar^2=243

=> a^5=243=3^5

=> a=3

here the 3rd term is a

so 3rd term is 3