MEDIUM
11th CBSE
IMPORTANT
Earn 100

Insert six arithmetic means between 11 and -10 .

Important Questions on Arithmetic Progression

MEDIUM
11th CBSE
IMPORTANT
There is n arithmetic means between 9 and 27 If the ratio of the last mean to the first mean is 2:1, find the value of n.
MEDIUM
11th CBSE
IMPORTANT
Insert arithmetic means between 16 and 65 such that the 5th  AM is 51 . Find the number of arithmetic means.
MEDIUM
11th CBSE
IMPORTANT
Insert five numbers between 11 and 29 such that the resulting sequence is an AP.
HARD
11th CBSE
IMPORTANT
Prove that the ratio of sum of m arithmetic means between the two numbers to the sum of n arithmetic means between them is m:n.
EASY
11th CBSE
IMPORTANT

If a,b,c are in AP, prove that

(a-c)2=4(a-b)(b-c)

EASY
11th CBSE
IMPORTANT

If a,b,c are in AP, prove that

a2+c2+4ac=2(ab+bc+ca)

EASY
11th CBSE
IMPORTANT

If a,b,c are in AP, prove that

a3+c3+6abc=8b3

EASY
11th CBSE
IMPORTANT

If a,b,c are in AP, show that

(a+2 b-c)(2 b+c-a)(c+a-b)=4 a b c