49
The sum of first three terms of a G. P. is and their product is 1, then
15
the common ratio and the terms of G. P.
Answers
Answered by
3
Answer:
5. Find the difference between the place values of
(a) two fours in 60,474.
Answered by
0
Answer:
Let
r
a
,a,ar be the first terms of the G.P.
r
a
+a+ar=
10
39
....(1)
(
r
a
)(a)(ar)=1...(2)
From (2) we obtain a
3
=1⇒a=1 (considering real roots only)
Substituting a=1 in equation (1), we obtain
r
1
+1+r=
10
39
⇒1+r+r
2
=
10
39
r
⇒10+10r+10r
2
−39r=0
⇒10r
2
−29r+10=0
⇒10r
2
−25r−4r+10=0
⇒5r(2r−5)−2(2r−5)=0
⇒(5r−2)(2r−5)=0
⇒r=
5
2
or
2
5
corresponding terms of the G.P
1. when r=
5
2
⇒
2
5
,1,
5
2
2. when r=
2
5
⇒
5
2
,1,
2
5
Similar questions
Math,
1 month ago
Business Studies,
1 month ago
Math,
3 months ago
Math,
10 months ago
Math,
10 months ago