In an A.P., the first term is 2 and the ...

In an A.P., the first term is 2 and the sum of first five terms is 5. Then the `31th` term is

`-13`

`27/2`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

SEQUENCES AND SERIES
NEW JOYTHI PUBLICATION|Exercise EXERCISE|49 Videos
RELATIONS AND FUNCTIONS
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos
SETS
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 Videos

Similar Questions

Explore conceptually related problems

In an A.P., the first term is 2 and the sum of the first five terms is one-fourth of the next five terms. Show that 20^("th") term is –112.

In an A.P, the first term is 2 and the sum of the first two terms is 5 . (i) Find the common difference

In an A.P, the first term is 5 and the sum of the first two terms is 15/2 . (i) Find the common difference

In any A.P. if sum of first six terms is 5 times the sum of next six terms then which term is zero?

The first term of an A.P. is a and the sum of first p terms is zero, show tht the sum of its next q terms is (a(p+q)q)/(p-1)dot

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

If the sum of the first n terms of an AP is 4n-n^(2) , what is the first term (note that the first term is S_(1) )? What is the sum of first two terms? What is the second term? Similarly, find the 3rd, the 10th and the nth terms

NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -QUESTIONS FROM COMPETITIVE EXAMS

The sum to n terms of the series 4/3 + 10/9 + 28/27 + ……. is
Text Solution
|
If sum(k = 1)^(n) k (k + 1)(k - 1) = pn^(4) + qn^(3) + tn^(2) + sn whe...
Text Solution
|
In an A.P., the first term is 2 and the sum of first five terms is 5. ...
Text Solution
|
If a, b, c, d are in G.P., then (a + b + c + d)^(2) is equal to
Text Solution
|
The sum of first n terms of the series 1 + (1 + x) y+ (1 + x + x^(2)) ...
Text Solution
|
If 3^(rd), 7^(th) and 12^(th) terms of A.P. are three consecutive term...
Text Solution
|
If a(1) = 4 and a(n + 1) = a(n) + 4n for n gt= 1, then the value of a(...
Text Solution
|
If the first term of a G.P. is 729 and its 7^(th) term is 64, then the...
Text Solution
|
Let a(1), a(2), a(3), a(4) be in A.P. If a(1) + a(4) = 10 and a(2)a(3)...
Text Solution
|
The 100^(th) term of the sequence 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, ……. is
Text Solution
|
Let S(n) denote the sum of first n terms of an A.P. If S(4) = -34,S(3)...
Text Solution
|
An A.P. has the property that the sum of first ten terms is half the s...
Text Solution
|
The sum of the series sum(n =8)^(17)1/((n + 2)(n + 3)) is equal to
Text Solution
|
If two positive numbers are in the ratio 3 + 2sqrt(2) : 3 - 2sqrt(2), ...
Text Solution
|
Let x(1), x(2), …… , x(n) be in an A.P. If x(1) + x(4) + x(9) + x(11) ...
Text Solution
|
If the second and fifth terms of a G.P. are 24 and 3 respectively, the...
Text Solution
|
If the sum of first 75 terms of an A.P. is 2625, then the 38^(th) term...
Text Solution
|
If -5, k, -1 are in A.P., then the value of k is equal to
Text Solution
|
Let T(n) denote the number of triangles which can be formed by using t...
Text Solution
|
if 1,log(9)(3^(1 - x) + 2),log(3)[4.3^(x) - 1] are in A.P. then x equa...
Text Solution
|