## The sum of the series 3.nC0 – 8.nC1 + 13.nC2 – 18.nC3 +…. up to (n + 1) terms is….

The sum of the series 3.nC0 – 8.nC1 + 13.nC2 – 18.nC3 +…. up to (n + 1) terms is

## If C0, C1, C2 �Cn denote the binomial coefficients in the expansion of (1 + x)n, then the value of….

If C0, C1, C2 �Cn denote the binomial coefficients in the expansion of (1 + x)n, then the value of . Cr is

## A ball is dropped from a height of 81 metres. Each time it strikes the ground, it rebounds two-third….

A ball is dropped from a height of 81 metres. Each time it strikes the ground, it rebounds two-thirds of the distance through which it last fell. Find the total distance it travels after the 5th fall. (in metres)

## Both the roots of the equation (x – b) (x – c) + (x – c) (x – a) + (x – a) (x – b) = 0 are always….

Both the roots of the equation (x – b) (x – c) + (x – c) (x – a) + (x – a) (x – b) = 0 are always

## If x satisfies |x – 1| + |x – 2| + |x – 3| ≥ 6, then….

If x satisfies |x – 1| + |x – 2| + |x – 3| ≥ 6, then

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## Find the 7th term of the series whose sum to n terms is 3n2 + 4…..

Find the 7th term of the series whose sum to n terms is 3n2 + 4.

## The 4th term in the expansion of (1 – 2x)3/2 will be….

The 4th term in the expansion of (1 – 2x)3/2 will be

## If = a log + b, then a =….

If = a log + b, then a =

## ABC is an equilateral triangle each of side a ( > 0). The radius of the inscribed circle is….

ABC is an equilateral triangle each of side a ( > 0). The radius of the inscribed circle is

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