Question

third term of gp is 2/3 and 6th term of is 2/81 find the first term common ratio​

Answer 1

Answer:

first term= 6 common ratio= 1/3

Step-by-step explanation:

3rd term i.e $ar^{2}$ = 2/3--------1

6th term i.e$ar^{5}$=2/81---------2

divide 2 by 1

we get $r^{3}$ as 1/27

hence r = 1/3 i.e the common ratio

now put value of r in {1}

we get a i.e the first term as

$a=\frac{2}{3r^{2} }$

putting r we get a=6