H K Dass, Rama Verma and, Bhagwat Swarup Sharma Solutions for Chapter: Arithmetic Progressions, Exercise 3: EXERCISE

Author:H K Dass, Rama Verma & Bhagwat Swarup Sharma

H K Dass Mathematics Solutions for Exercise - H K Dass, Rama Verma and, Bhagwat Swarup Sharma Solutions for Chapter: Arithmetic Progressions, Exercise 3: EXERCISE

Attempt the free practice questions on Chapter 5: Arithmetic Progressions, Exercise 3: EXERCISE with hints and solutions to strengthen your understanding. New Mathematics for Class X solutions are prepared by Experienced Embibe Experts.

Questions from H K Dass, Rama Verma and, Bhagwat Swarup Sharma Solutions for Chapter: Arithmetic Progressions, Exercise 3: EXERCISE with Hints & Solutions

HARD
10th CBSE
IMPORTANT

The sum of first n terms of an A.P., is zero, show that the sum of next m terms is -am(m+n)n-1a being the first term.

HARD
10th CBSE
IMPORTANT

If the sum of the first n terms of two A.P.s are in the ratio 7n-5:5n+17. Show that the 6th terms of the two progressions are equal.

HARD
10th CBSE
IMPORTANT

The ratio between the sum of n terms of two arithmetic progressions is 7n+1:4n+27. Find the ratio of their 11th terms.

HARD
10th CBSE
IMPORTANT

The first, second and the last term of an A.P. are a, b, c respectively. Show that the sum of the A.P. is (b+c-2a)(a+c)2(b-a).

HARD
10th CBSE
IMPORTANT

The sum of n terms of an A.P. is (2n+3n2). Determine, the A.P. and find its rth term.

HARD
10th CBSE
IMPORTANT

If the mth term of an A.P. is a and the nth term is b, show that the sum of (m+n) terms is m+n2a+b+a-bm-n.

HARD
10th CBSE
IMPORTANT

The sum of n terms of a progression is 3n2+4n. Is this progression an A.P.? If so, find the A.P. and the sum of its rth term.

MEDIUM
10th CBSE
IMPORTANT

If the roots of the equation b-cx2+c-ax+a-b=0 are equal, then show that a, b, c are in A.P