If the first second and the last terms o...

If the first second and the last terms of an A.P are a,band 2a , respectively, then its sum is

A

`(ab)/(2(b-a))`

B

`(ab)/(b-a)`

C

`(3ab)/(2(b-a))`

D

`(3ab)/(b-a)`

Text Solution

Verified by Experts

The correct Answer is:

C

Topper's Solved these Questions

SEQUENCE AND SERIES
VMC MODULES ENGLISH|Exercise LEVEL-2|34 Videos
SEQUENCE AND SERIES
VMC MODULES ENGLISH|Exercise JEE MAIN & Advance ( ARCHIVE)|46 Videos
SEQUENCE AND SERIES
VMC MODULES ENGLISH|Exercise JEE MAIN & Advance ( ARCHIVE)|46 Videos
REVISION TEST-2 JEE
VMC MODULES ENGLISH|Exercise MATHEMATICS|25 Videos
STRAIGHT LINES
VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos

Similar Questions

Explore conceptually related problems

If the first, second and the last terms of an A.P. are a,b,c respectively, then the sum of the A.P. is

If the first, second and last term of an A.P. are a ,\ b and 2a respectively, its sum is (a b)/(2(b-a)) (b) (a b)/(b-a) (c) (3a b)/(2(b-a)) (d) none of these

If the first second and last term of an A.P. are a ,\ b ,\ a n d\ 2a\ respectively then its sum is a. (a b)/(2(b-a)) b. (a b)/(b-a) c. (3a b)/(3(b-a)) d. none of these

The first , second and the last terms of an A.P. are a ,b , c respectively. Prove that the sum is ((a+c)(b+c-2a))/(2(b-a)) .

The first and the last terms of an A.P. are 5 and 45 respectively. If the sum of all its terms is 400, find its common difference.

The first and the last terms of an A.P. are a\ a n d\ l respectively. Show that the sum of nth term from the beginning and nth term from the end is a+ldot

The first term, second term and middle term of an A.P. are a, b and c respectively. The sum of this A.P. is :

The first and the last terms of an A.P. are 4 and 81 respectively . If the common difference is 7, how many terms are there in the A.P. and what is their sum?

The first and the last terms of an AP are 7 and 49 respectively. If sum of all its terms is 420, find its common difference.

VMC MODULES ENGLISH-SEQUENCE AND SERIES -LEVEL-1

The middle term in the following arithmetic progression 20, 16, 12.......
Text Solution
|
If the first second and the last terms of an A.P are a,band 2a , respe...
Text Solution
|
If (a^n+b^n)/(a^(n-1)+b^(n-1)) is the A.M. between a and b, then find ...
Text Solution
|
A monkey while trying to reach the top of a pole of height 12 meters t...
Text Solution
|
Let the positive numbers a ,b ,ca d nd be in the A.P. Then a b c ,a b ...
Text Solution
|
.1/(p+q),1/(q+r),1/(r+p) are in AP, then
Text Solution
|
The number of numbers lying between 100 and 500 that are divisible by ...
Text Solution
|
The maximum sum of the series 20+19 1/3+18 2/3+ is 310 b. 300 c. 0320 ...
Text Solution
|
If a, b, c, d are distinct positive numbers in A.P., then:
Text Solution
|
If (b+c-2a)/a , (c+a-2b)/b , (a+b-2c)/c are in A.P. , then a,b,c are ...
Text Solution
|
The sum of the series: 1/((log)2 4)+1/((log)4 4)+1/((log)8 4)++1/((log...
Text Solution
|
A sequence an , n in N be an A.P. such that a7 = 9 and a1 a2 a7 ...
Text Solution
|
If three positive real numbers a, b, c are in AP with abc = 64, then m...
Text Solution
|
If the sum of n terms of an A.P. is given by Sn=a+b n+c n^2, w h e r e...
Text Solution
|
If tr denotes the r^(th) term of an A.P. and t1+ t5 + t10 + T15 + t...
Text Solution
|
Sum to n-terms of the series (1/2)^2 + (3/4)^2 + (7/8)^2 + (15/16)^2 +...
Text Solution
|
In a set of four numbers, the first three are in G.P. and the last thr...
Text Solution
|
Find a three digit numberwhose consecutive digits form a GP. If we sub...
Text Solution
|
If sin theta,sqrt(2) (sintheta + 1),6 sin theta +6 are in GP, than the...
Text Solution
|
If sumn ,(sqrt(10))/3sumn^2,sumn^3 are in GP, then the value of n is
Text Solution
|