SOLUTION: The sum of first four terms of G.P. is 30 and sum of first and last term is 18, then find G.P.
Algebra.Com
Question 1098693: The sum of first four terms of G.P. is 30 and sum of first and last term is 18, then find G.P.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
.
.
.
Let's use a substitution for better readability,
So then,
and
So,
Four r solutions,
We throw out and since the assumption was made when we cross multiplied that and .
So when, ,
and when
So then the geometric progression can be,
{2,4,8,16}
or
{16,8,4,2}
RELATED QUESTIONS
The third term of a g.p is 12 and the first term is 48.find the sum of the first 11... (answered by mananth,ikleyn)
The sum of the first two terms of an G.P is x and the sum of the last two term is y, if... (answered by ikleyn)
THE 2ND AND 7TH TERM OF A G.P ARE 18 AND 4374 RESPECTIVELY. FIND THE
1) COMMON... (answered by josgarithmetic,Edwin McCravy,mccravyedwin,ikleyn,AnlytcPhil)
Given that the 2rd term of a G.p is 180 and the 3rd term is 360, calculate:
a) the first (answered by josgarithmetic,math_tutor2020)
Find the number of terms in an A.P, whose first term is 1, last term is 77 and the sum of (answered by math_tutor2020)
A G.P has 8 terms it first and last term are 0.3 and 38.4 calculate
(a) the common ratio
(answered by Edwin McCravy)
the sum of first two terms of a G P is x and the sum of last two terms is y. if there are (answered by rothauserc)
in g p if sum of first two digits is 7 and sum of first 6 digits is 91 then what is the... (answered by josgarithmetic)
The sum of first four terms of GP is 30 and that of the last four terms is 960. If the... (answered by ikleyn)