SOLUTION: Find an equation for the nth term of a geometric sequence where the second and fifth terms are -21 and 567, respectively.
Algebra.Com
Question 697063: Find an equation for the nth term of a geometric sequence where the second and fifth terms are -21 and 567, respectively.
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Substitute for and for in the formula
...-> ..
...->..
Substitute this expression for a1 in the second equation and solve for r.
Substitute for in the first equation and solve for .
Now use the formula to find the nth term .
Answer by MathTherapy(10551) (Show Source): You can put this solution on YOUR website!
Find an equation for the nth term of a geometric sequence where the second and fifth terms are -21 and 567, respectively.
r =
, or 7 ----- Substituting – 3 for r
Therefore, equation for the nth term = , or
RELATED QUESTIONS
Find an equation for the nth term of a geometric sequence where the second and fifth... (answered by MathLover1)
Find an explicit rule for the nth term of a
geometric sequence where the second and... (answered by Edwin McCravy)
Find an explicit rule for the nth term of a geometric sequence where the second and fifth (answered by greenestamps)
the third and sixth terms of a geometric sequence are-75 and -9375 respectively. Find the (answered by htmentor)
The second and fifth terms are in a geometric progression are 12 and 40.5 respectively.... (answered by greenestamps,ikleyn,mananth)
the second term of a geometric sequence is 10 and the fifth term is 7290. find the nth... (answered by stanbon)
The second term of a geometric sequence is 10 and the fifth term is 7290. find the nth... (answered by ewatrrr)
The third and sixth terms of a geometric sequence are -75 and -9375 respectively. Find... (answered by htmentor)
The first term of an arithmetic progression is 12 and the sum of the first 16 terms is... (answered by greenestamps)