Question

for each geometric progression find the common ratio 'r', and then find An. 1) 3,3÷2, 3÷4, 3÷8,...........​

Answer 1

Answer:

r=1/2;an=3*1/2^(n-1)

Step-by-step explanation:

a=3,a2=3/2,a3=3/4

a2/a1=3/2/3=3/2*1/3=1/2

r=1/2

an=a*r^(n-1)

   =3*1/2^(n-1)

   =3*1/2^(n-1)

mark me as brainliest...........

Answer 2

$\Huge\bigstar\:\tt\underline\red{:ANSWER:}$

The Given G.P

${3,\frac{3}{2},\frac{3}{4},\frac{3}{8}.....}$.

a = ${3}$.

a1=$\frac{3}{2}$.

a2=$\frac{3}{4}$.

a3=$\frac{3}{8}$.

The first term ${\huge{\boxed{\mathbb{\red{a=3}}}}}$

The common ratio ${r}$ =$\frac{a2}{a1}$.

${\implies}$$\frac{3/2}{3/1}$

${\implies}$$\frac{3}{2}$×$\frac{1}{3}$.

$\therefore{\huge{\boxed{\mathbb{\purple{r=\frac{1}{2}}}}}}$.

nth term of the Gp.

${\large{\boxed{\mathbb{\orange{an= a-r^n-1}}}}}$.

${3(\frac{1}{2})^n-1}$.