List of top Mathematics Questions on Sequence and Series asked in BITSAT

2¹/4·2²/8·2³/16·2⁴/32⋯ is equal to
After striking the floor a certain ball rebounds (4)/(5)th of its height from which it has fallen. The total distance that the ball travels before coming to rest if it is gently released from a height of 120m is
If sumk=1ⁿ k(k+1)(k-1)=pn⁴+qn³+tn²+sn, where p,q,t and s are constants, then the value of s is equal to
Evaluate (x+\frac1x)²+(x²+\frac1x²)²+(x³+\frac1x³)² up to n terms is
The fourth term of an A.P. is three times the first term and the seventh term exceeds twice the third term by one. Then the common difference of the progression is
The sum to n terms of the series \frac12+\frac34+\frac78+(15)/(16)+⋯ is
If log a, log b, log c are in A.P. and also log a-log 2b, log 2b-log 3c, log 3c-log a are in A.P., then
The value of
\( \dfrac{3}{4} + \dfrac{15}{16} + \dfrac{63}{64} + \cdots \)
up to \( n \) terms is
The sum \[ 1 + \frac{1+a}{2!} + \frac{1+a+a^2}{3!} + \cdots \] is equal to:
If \(\sum_{k=1}^{n} k(k+1)(k-1) = p n^4 + q n^3 + t n^2 + s n\), where \(p, q, t, s\) are constants, then the value of \(s\) is equal to
The fourth term of an A.P. is three times of the first term and the seventh term exceeds the twice of the third term by one. Then the common difference of the progression is
If log a,log b,log c are in A.P. and also log a-log 2b,log 2b-log 3c,log 3c-log a are in A.P., then
If the \((2p)^{\text{th}}\) term of a H.P. is \(q\) and the \((2q)^{\text{th}}\) term is \(p\), then the \(2(p+q)^{\text{th}}\) term is:
If \(\frac{1}{a}, \frac{1}{b}, \frac{1}{c}\) are in A.P., then \[ \left(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}\right)\left(\frac{1}{b}+\frac{1}{c}-\frac{1}{a}\right) \] is equal to:
The product of \(n\) positive numbers is unity, then their sum is:
If \( y = 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \dots + \infty \), then
If \( x \) is positive then the sum to infinity of the series \[ \frac{1}{1+3x} - \frac{1}{1+3x^2} + \frac{1}{1+3x^3} - \dots \, \infty \] is:
Find the A.M. of the first ten odd numbers.
If p,q,r are the nᵗh, qᵗh terms of H.P. and are u,v,w respectively, then the value of the expression (q-r)v+(r-p)w+(p-q)u is: