If a(1), a(2),…, a(n +1) are in A.P., th...

If `a_(1), a_(2),…, a_(n +1)` are in A.P., then `(1)/(a_(1)a_(2)) + (1)/(a_(2)a_(3)) +...+ (1)/(a_(n) a_(n + 1))` is

`(n - 1)/(a_(1) a_(n + 1))`

`(n + 1)/(a_(1) a_(n + 1))`

`(1)/(a_(1) a_(n + 1))`

`(n)/(a_(1) a_(n + 1))`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PROGRESSIONS
ML KHANNA|Exercise MISCELLANEOUS EXERCISE (MATCHING ENTRIES) |4 Videos
PROGRESSIONS
ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/REASON) |1 Videos
PROGRESSIONS
ML KHANNA|Exercise PROBLEM SET - 5 (FILL IN THE BLANKS) |2 Videos
PROBABILITY
ML KHANNA|Exercise MISCELLANEOUS EXERCISE|6 Videos
PROPERTIES OF TRIANGLES
ML KHANNA|Exercise Self Assessment Test (Multiple Choise Questions)|34 Videos

Similar Questions

Explore conceptually related problems

If a_(1),a_(2),a_(3),dots,a_(n+1) are in A.P.then (1)/(a_(1)a_(2))+(1)/(a_(2)a_(3))...+(1)/(a_(n)a_(n+1)) is

Let a_(1),a_(2),a_(3),….,a_(4001) is an A.P. such that (1)/(a_(1)a_(2))+(1)/(a_(2)a_(3))+...+(1)/(a_(4000)a_(4001))=10 a_(2)+a_(400)=50 . Then |a_(1)-a_(4001)| is equal to

Let a_(1),a_(2),a_(3), . . .,a_(n) be an A.P. Statement -1 : (1)/(a_(1)a_(n))+(1)/(a_(2)a_(n-1))+(1)/(a_(3)a_(n-1))+ . . .. +(1)/(a_(n)a_(1)) =(2)/(a_(1)+a_(n))((1)/(a_(1))+(1)/(a_(2))+ . . .. +(1)/(a_(n))) Statement -2: a_(r)+a_(n-r+1)=a_(1)+a_(n)" for "1lerlen

. If a_(1),a_(2),a_(3),...,a_(2n+1) are in AP then (a_(2n+1)+a_(1))+(a_(2n)+a_(2))+...+(a_(n+2)+a_(n)) is equal to

If a_(1),a_(2),a_(3),,a_(n) are an A.P.of non-zero terms, prove that _(1)(1)/(a_(1)a_(2))+(1)/(a_(2)a_(3))++(1)/(a_(n-1)a_(n))=(n-1)/(a_(1)a_(n))

If a_(1),a_(2),a_(3),...,a_(2n+1) are in A.P.then (a_(2n+1)-a_(1))/(a_(2n+1)+a_(1))+(a_(2n)-a_(2))/(a_(2n)+a_(2))+...+(a_(n+2)-a_(n))/(a_(n+2)+a_(n)) is equal to (n(n+1))/(2)xx(a_(2)-a_(1))/(a_(n+1)) b.(n(n+1))/(2) c.(n+1)(a_(2)-a_(1)) d.none of these

If a_(1),a_(2),...,a_(n) are in H.P.then (a_(1))/(a_(2)+a_(3)+...+a_(n)),(a_(2))/(a_(1)+a_(3)+...+a_(n)),dots,(a_(n))/(a_(1)+a_(2)+...+a_(n-1)) are in a.A.P b.G.P...H.P.d.none of these

If a_(1),a_(2),...a_(n) are in H.P then the expression a_(1)a_(2)+a_(2)a_(3)+...+a_(n-1)a_(n) is equal to

ML KHANNA-PROGRESSIONS -SELF ASSESSMENT TEST

If the sum of the series 2, 5, 8, 11,… is 60100, then n is
Text Solution
|
If the numbers a , b , c , d , e form an A.P. , then find the value of...
Text Solution
|
If a(1), a(2),…, a(n +1) are in A.P., then (1)/(a(1)a(2)) + (1)/(a(2)a...
Text Solution
|
If log 2, log (2^(n) - 1) and log(2^(n) + 3) are in A.P., then n =
Text Solution
|
In a G.P. if the (m + n)^(th) term be p and (m - n)th term be q, then ...
Text Solution
|
If the fifth term of a G.P. is 2, then write the product of its 9 t...
Text Solution
|
If 1 + sin x + sin^(2) x +.....+ oo = 4 + 2 sqrt(3), 0 lt x lt pi and...
Text Solution
|
If x,y,z are in HP, then log(x+5)+log (x-2y+z) is equal to
Text Solution
|
If H be the harmonic mean between x and y, then show that (H+x)/(H-x)+...
Text Solution
|
In a H.P., p^(th) term is q and q^(th) term is p then pq^(th) term is
Text Solution
|
The harmonic mean of (a)/(1 - ab) and (a)/(1 + ab) is
Text Solution
|
If b^(2), a^(2), c^(2) are in A.P., then a + b, b + c, c + a will be i...
Text Solution
|
If (x + y)/(2), y ,(y + z)/(2) are in H.P., then x, y, z are in
Text Solution
|
If a,b,c are in A.P., then 2^(ax+1),2^(bx+1),2^(cx+1), x in R, are in
Text Solution
|
If a, ,b c, are in G.P., then log(a) n, log(b) n, log(c) n are in
Text Solution
|
For all ngeq1, prove that 1/(1. 2)+1/(2. 3)+1/(3. 4)+dotdotdot+1/(n(n+...
Text Solution
|
The value of underset(i=1)overset(n)sumunderset(j=1)overset(i)sumunde...
Text Solution
|
11^(3)+12^(3)+13^(3)+………….+20^(3) is
Text Solution
|
For any integer n ge 1, the sum sum(k=1)^(n) k (k + 2) is equal to
Text Solution
|
Find the sum of first n terms of the series 1^(3) + 3^(3) + 5^(3) +…
Text Solution
|