The fourth, seventh, and the last term o...

The fourth, seventh, and the last term of a G.P. are 10, 80, and 2560, respectively. Find the first term and the number of terms in G.P.

A

`(4)/(5),12`

B

`(4)/(5),10`

C

`(5)/(4),12`

D

`(5)/(4),10`

Text Solution

Verified by Experts

The correct Answer is:

B

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

SEQUENCES AND SERIES
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|10 Videos
SEQUENCES AND SERIES
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 5|8 Videos
SEQUENCES AND SERIES
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|11 Videos
PROPERTIES AND SOLUTION OF TRIANGLES
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
SETS, RELATIONS AND FUNCTIONS
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

The fourth, seventh and the last term of a G.P. are 10 ,80a n d2560 respectively. Find the first term and the number in the G.P.

The 4th, 7th and last terms of a G.P. are 10,80 and 2560 respectively. Find the number of terms of the G.P.

If the 6th and 10th terms of a G.P. are 1/16 and 1/256 respectively. Find the G.P. if its terms are real numbers.

The fourth term, the seventh term and the last term of a geometric progression are 10, 80 and 2560 respectively. Find its first term, common ration and number of terms.

The first two terms of a G.P. are 125 and 25 respectively. Find the 5^(th) and the 6^(th) terms of the G.P.

The (p+q)th term and (p-q)th terms of a G.P. are a and b respectively. Find the pth term.

The fourth, seventh and tenth terms of a G.P. are p,q,r respectively, then

Fourth and seventh terms of a G.P. are (1)/(18) and -(1)/(486) respectively. Find the G.P.

The sum of some terms of a G.P. is 315 whose first term and the common ratio are 5 and 2, respectively. Find the last term and the number of terms.

The sum of some terms of G. P. is 315 whose first term and the common ratio are 5 and 2, respectively. Find the last term and the number of terms.

ARIHANT MATHS ENGLISH-SEQUENCES AND SERIES-Exercise For Session 3

The fourth, seventh, and the last term of a G.P. are 10, 80, and 2560,...
04:31
|
If the first and the n^(t h)term of a GP are a and b, respectively, a...
03:00
|
If a(1),a(2),a(3)(a(1)gt0) are three successive terms of a GP with com...
01:55
|
If x ,2x+2 and 3x+3 are the first three terms of a G.P., then the four...
04:15
|
In a sequence of 21 terms the first 11 terms are in A.P. with common d...
04:25
|
Three distinct numbers x,y,z form a GP in that order and the numbers 7...
02:55
|
Prove that the sum to n terms of the series 11 + 103 + 1005 + …. Is (1...
03:01
|
In a G.P the sum of the first and last terms is 66, the product of the...
03:29
|
If S(1),S(2),S(3)be respectively the sum of n, 2n and 3n terms of a GP...
06:55
|
If |a|lt1|b|lt1and|x|lt1 then the solution of sin^(-1)((2a)/(1+a^(2)))...
02:26
|
If the sides of a triangle are in GP and its largest angle is twice th...
03:35
|
If a x^3+b x^2+c x+d is divisible by a x^2+c ,t h e na ,b ,c ,d are in...
03:33
|
If (r)n, denotes the number rrr... (n digits), where r = 1,2,3,...,9 a...
06:21
|
0.4bar27 represents the rational number
01:28
|
If the product of three numbers in GP be 216 and their sum is 19, the...
02:32
|