Home
Class 12
MATHS
How many positive terms are there in the...

How many positive terms are there in the sequence `(x_(n))` if `x_(n)=(195)/(4P_(n))-(.^(n+3)A_(3))/(P_(n+1)),n in N`?

Text Solution

Verified by Experts

The correct Answer is:
Hence the given sequence `(x_(n))` has 4 positive terms.
Promotional Banner

Similar Questions

Explore conceptually related problems

Number of positive terms in the sequence x_n=195/(4P_n)-(n+3p_3)/(P_(n+1)), n in N (here p_n=|anglen )

Find the negative terms of the sequence X_(n)=(.^(n+4)P_(4))/(P_(n+2))-(143)/(4P_(n))

Is the sequence defined by a_(n) = 3n^(2) + 2 an A.P. ?

Let a sequence {a_(n)} be defined by a_(n)=(1)/(n+1)+(1)/(n+2)+(1)/(n+3)+"...."+(1)/(3n) . Then:

In a sequence of (4n+1) terms, the first (2n+1) terms are n A.P. whose common difference is 2, and the last (2n+1) terms are in G.P. whose common ratio is 0.5 if the middle terms of the A.P. and LG.P. are equal ,then the middle terms of the sequence is (n .2 n+1)/(2^(2n)-1) b. (n .2 n+1)/(2^n-1) c. n .2^n d. none of these

Find the indicated terms of the sequence whose n^(t h) terms are : a_n=(n(n-2))/(n+3) ; a_(20)

If the equation a_(n)x^(n)+a_(n-1)x^(n-1)+..+a_(1)x=0, a_(1)!=0, n ge2 , has a positive root x=alpha then the equation na_(n)x^(n-1)+(n-1)a_(n-1)x^(n-2)+….+a_(1)=0 has a positive root which is

If the number of positive integral solutions of u+v+w=n be denoted by P_(n) then the absolute value of |{:(P_(n),P_(n+1),P_(n+2)),(P_(n+1),P_(n+2),P_(n+3)),(P_(n+2),P_(n+3),P_(n+4)):}| is

Find the indicated terms in each of the following sequences whose n^(th) terms are a_(n) = (a_(n-1))/(n^(2)) , (n ge 2) , a_(1) =3 , a_(2) , a_(3)

If "^(n+5)P_(n+1) = (11(n-1))/2"^(n+3)P_n , find ndot