Let a1, a2, a3,... be terms of an AP. If (a1+a2+...ap.)/(a1+a2+...aq) = p2/q2, p not equal to q, then a6/a21 equals (1) 7/2 (2) 2/7 (3) 11/41 (4)... View Article
If a/(b+c), b/(c+a), c/(a+b) are in AP, then (1) a,b,c are in AP (2) c,a,b are in AP (3) a2, b2,c2 are in AP (4) a,b,c are in GP. Solution:... View Article
Solution: Given a2, b2, c2 are in AP. b2-a2 = c2-b2 …(i) a/sin A = b/sin B = c/sin C = k (sine rule) a = k sin A b = k sin B c = k sin C... View Article
The sets S1 ,S2, S3,... are given by S1 = { 2/1}, S2 = { 3/2, 5/2}, S3 = { 4/3, 7/3, 10/3}, S4 = { 5/4, 9/4, 13/4, 17/4}.... Then the sum of the... View Article
Solution: Since a,b,c are in AP, we know 2b = a+c (a + 2b - c) = a+a+c-c = 2a (substitute 2b = a+c) (2b + c - a) = a+c+c-a = 2c (a + 2b +... View Article
Solution: nth term of AP, an = a+(n-1)d a12 = a+(12-1)d = a+11d a22 = a+(22-1)d = a+21d Given sum of 12th and 22nd term is 100. So a12+a22... View Article
Solution: Given AP 2,5,8,11.. First term, a = 2 Common difference, d = 5-2 = 3 Sum of n terms = (n/2)(2a+(n-1)d) = (n/2)(4+(n-1) 3 Sum of... View Article
The sum of the first n terms of the series 1/2 + 3/4 + 7/8 + 15/16 + .......is equal to (1) 22n -n-1 (2) 1-2-n (3) n+2-n-1 (4) 2n+1 Solution:... View Article
An object that is moving under the absolute control of gravity is a free falling object. Any object that is only acted on by the force of gravity... View Article
Enthalpy is a term used in science and engineering where it is required to quantify heat and function. At constant strain, as a material varies,... View Article
Corrosion is when a refined metal, such as its oxide, hydroxide or sulphide state, is spontaneously converted to a more solid form, which... View Article
Hybridization is characterised as the concept of mixing two atomic orbitals to give a degenerated new form of orbitals with the same energy... View Article
