Q. 365.0( 3 Votes )
The 4th term of a G.P. is square of its 2nd term, and the first term is –3. Determine its 7th term.
Let a and r be the first term and common ratio respectively.
Then a = -3
4th term = a4 = ar3 = -3r3
2th term = a2 = ar = -3r
a4 = (a2)2
-3r3 = (-3r)2
-3r3 = 9r2
r = -3
7th term = a7 = ar6 = -3(-3)6 = -3(-3)6= (-3)7 = - 2187
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Interactive quiz on inequalities involving AM and GM45 mins
Check Your progress Part 2| Interactive Quiz: Sequence & Series47 mins
Sequence & Series (Lecture 1)56 mins
Sequence & Series (Lecture 5)42 mins
Sequence & Series (Lecture 7)37 mins
Use of sigma in finding sum42 mins
Trigonometric Series45 mins
Sequence & Series (Lecture 6)42 mins
Sequence & Series (Lecture 8)35 mins
Check Your progress Part 3| Interactive Quiz: Sequence & Series46 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation