Question

Please, show your work . Thanks

Answer 1

4.
seems to be a geometric sequence
common ratio is -4
first erm is -2

`a_(n)=-2(-4)^(n-1)`


5. x=-1
remember x^-1=1/x
f(-1)=4(7^-1)=4(1/7)=4/7
f(2)=4(7^2)=4(49)=196


6. remember
(ab)/(cd)=(a/c)(b/d)
also
(x^m)/(x^n)=x^(m-n)
and
(x^m)(x^n)=x^(m+n)

so

`(4.5*10^(3))/(9*10^(7))`=
(
`(4.5)/(9)`)(
`(10^(3))/(10^(7))`)=
(0.5)(
`10^(3-7)`=
(0.5)(10^-4)=
(5)(10^-1)(10^-4)=
(5)(10^(-1-4)
5*10^-5






4.
`a_(n)=-2(-4)^(n-1)`

5. f(-1)=4/7
f(2)196

6. 5 times 10^-5