Wednesday, January 2, 2013

Find the first 5 terms of the geometric progression if the common ratio is -4 and the 4th term is 16.

Let a1, a2, a3, a4, a5 are terms of G.P such that r= -4 is
the common difference and a4 = 16


Then we know
that:


a4 = a1*r^3


==>
16 = a1* -4*3


==> 16 =
a1*-64


==> a1= -16/64 =
-1/4


==> a2= a1* r= -1/4 * -4=
1


==> a3= a1*r^2= -1/4* 16 =
-4


==> a4= a1*r^3 = -1/4* -64 =
16


==> a5= a1* r^4 = -1/4* 256 =
-64


==> Then the first 5 terms
are:


-1/4....1.....-4......16......-64

No comments:

Post a Comment

What accomplishments did Bill Clinton have as president?

Of course, Bill Clinton's presidency will be most clearly remembered for the fact that he was only the second president ever...