Answer:
[tex]a_{1} =\frac{2}{5}[/tex] ,Recursive formula is :
[tex]a_{n} =a_{n-1} .5[/tex]
Step-by-step explanation:
To find a1 we put n=1 in the given Geometric sequence :
[tex]a_{1} =\frac{2}{5}5^{1-1}[/tex]
[tex]a_{1} =\frac{2}{5}[/tex]
[tex]a_{2} =\frac{2}{5}5^{2-1} = 2[/tex]
Common difference = 2÷[tex]\frac{2}{5}[/tex] = 5.
r=5.
Recursive formula for a geometric sequence is
[tex]a_{n} =a_{n-1} .r[/tex]
Recursive formula is :
[tex]a_{n} =a_{n-1} .5[/tex]
