Five number are in H.P. The middle term ...

Five number are in H.P. The middle term is 1 and the ratio of the second and the fourth terms is 2 : 1 . Then the sum of the first three terms is

`11/2`

`14/3`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PROBABILITY
PATHFINDER|Exercise QUESTION BANK|41 Videos
QUADRATIC EQUATION
PATHFINDER|Exercise QUESTION BANK|19 Videos

Similar Questions

Explore conceptually related problems

Five number are in H.P The middle term is 1 and the ratio of the second and the fourth term is 2:1 .Then the sum of the first three terms is -

The first term of G.P. is 27 and 8th term is 1/81 . Find the sum of its first 10 terms.

In a G.P., the sum of the first and the last term is 66, the product of the second and the last but one is 128 and the sum of terms is 126. If the decreasing G.P. is considered, then the sum of the infinite terms are -

Suppose that all the terms of an arithmetic progression (A.P.) are natural numbers. If the ratio of the sum of the first seven terms to the sum of the first eleven terms is 6: 11 and the seventh term lies in between 130 and 140, then the common difference of this A.P. is

The second term of an H.P. is 3/14 and the fifth term is 1/10 . Find the sum of its 6th and the 7th term.

The first term of an A.P. is the same as that of a G.P., the common difference of the one and the common ratio of the other are both 4. If the sum of the first three terms of each series are same, find the fourteenth term of each series.

The twelfth term of an A.P. is (-13) and the sum of its first four terms is 24, find the sum of first 10 terms of the A.P.

Find the third term of a G.P. whose common ratio is 3 and the sum of whose first seven terms is 2186

Suppose that all the terms of an arithmetic progression (A.P) are natural number .If the ratio of the sum of the first seven terms to the sum of the first eleven terms is 6 : 11 and the seventh term lies in between 130 and 140 , then the common differnce of A.P . is -

Suppose that all the terms of an arithmetic progression (A.P) are natural numbers. If the ratio of the sum of the first seven terms to the sum of the first eleven terms is 6 : 11 and the seventh terms lies in between 130 and 140, then the common difference of this A.P, is

PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK

If x, y , z are in A.P and tan^-1 x , tan^-1 y and tan^-1 z are also ...
Text Solution
|
The sum of first 20 terms of the sequence 0.7 , 0.77 , 0.777,... is
Text Solution
|
The value of 1000[1/(1 xx 2) + 1/(2 xx 3) + .........+1/(999 xx 1000)]...
Text Solution
|
Let f : R rarr R be such that f is is injective and f(x) f(y) = f(x + ...
Text Solution
|
Five number are in H.P. The middle term is 1 and the ratio of the seco...
Text Solution
|
If a, b ,c are in A.P ., then the straight line ax + 2by + c=0 will al...
Text Solution
|
Six possible number are in G.P . such that their product is 1000. If t...
Text Solution
|
Five number are in A.P. with common difference ne 0. If the 1 st , 3 r...
Text Solution
|
Let f(x) = x(1/(x - 1) + 1/x + 1/(x + 1)), x gt 1 , Then
Text Solution
|
Let a1 , a2 ,... be in harmonic progression with a1 = 5 and a20 = 25. ...
Text Solution
|
Statement 1 : The sum of the series 1 + (1 + 2 + 4)+(4 + 6 + 9) + (9...
Text Solution
|
If 100 times the 100 th term of an AP with non zero common different e...
Text Solution
|
Six number are in A.P. such that their sum in 3 . The first term is 4 ...
Text Solution
|
If 64, 27 , 36 are the Pth , Qth and Rth terms of a G.P., then P + 2Q ...
Text Solution
|
Let a, b , c, p , q , r be positive real numbers such that a , b , c a...
Text Solution
|
Let Sk be the sum of an infinite G.P. series whose first term is k and...
Text Solution
|
Let a1 , a2 , ...., a100 be an arithmetic progression with a1 = 3 and ...
Text Solution
|
A man saved Rs. 200 in each of the first three months of his service. ...
Text Solution
|
The sequence log a, log a^2/b , log a^3/b^2 , ..... is
Text Solution
|
The harmonic mean of two numbers is 4. Their arithmetic mean A and the...
Text Solution
|