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Let a, b,

Let a, b, c be positive integers such that b/a is an integer. If a,b, c are in geometric progression

For any positive

For any positive integer n Let Sn : (0,∞)→R defined by Sn(x)=∑_(k=1)^n cot^−1 (( 1+k(k+1)x^2)/x) ..

Let bi greater1

Let bi greater1 for i = 1, 2, ..., 101. Suppose loge b1, loge b2, , loge b101 are in (A. P.).....

Let α1 ,

Let α1 , α2 , α3 , ... be an arithmetic progression with α1 = 7 and common difference 8. Let T1 , T2

Let a ,

Let a , ar , ar^2 ,... be an infinite G.P. If ∑_(𝑛 = 0)^∞ 𝑎𝑟^𝑛 =57 and ∑_(𝑛 = 0)^∞ 𝑎^3 𝑟^(3𝑛) = 9747

Let the first

Let the first three terms 2, p and q , with q ≠ 2, of a G.P. be respectively the 7th , 8th and 13th

If 3, a,

If 3, a, b, c are in A.P. and 3, a – 1, b + 1 are in G.P. Then arithmetic mean of a, b and c is ...

Let three real

Let three real numbers a , b , c be in arithmetic progression and a + 1 , b , c + 3 be in GP ...

A software company

A software company sets up m number of computer systems to finish an assignment in 17 days. If 4 ...

In an increasing

In an increasing geometric progression of positive terms, the sum of the second and sixth terms is..

Let ABC be

Let ABC be an equilateral triangle. A new triangle is formed by joining the middle points of all....

Let l1, l2,

Let l1, l2, ... ,l100 be consecutive terms of an arithmetic with common difference d1 and let w1,w2,

et m be

et m be the minimum possible value of, log3(3^y1 + 3^y2 + 3^y3) where y1, y2, y3 are real numbers

Let a1,a2, a3,

Let a1,a2, a3, … be a sequence of positive integers in arithmetic progression with common difference

Let 75.....57 denote

Let 75.....57 denote the (r + 2) digit number where the first and the last digits are 7 and the ...

Let AP (a;d)

Let AP (a;d) denote the set of all the terms of an infinite arithmetic progression with first term a

Let X be

Let X be the set consisting of the first 2018 terms of the arithmetic progression 1, 6, 11, .. ,

The sides of

The sides of a right angled triangle are in arithmetic progression. If the triangle has area 24.....

Suppose that all

Suppose that all the terms of an arithmetic progression (A.P.) are natural numbers. If the ratio of

The value of

The value of the integral ∫_0 ^(π/2) 3√ (cos θ) / ( √ cos θ + √ sin θ )^5 dθ equals ....

If l =

If l = 2/π ∫ dx / ( (1+e^sin x) (2-cos2x)) ; x∈ (-π/4→π/4) than 27 l^2 equals

Let f:R→R be

Let f:R→R be a differentiable function such that its derivative f′ is continuous and f(π) = −6. If

Let gi :

Let gi : [π/8 , 3π/8] → R, i = 1,2 and f : [π/8 , 3π/8] → R be functions such thatg1(x)=1, g2(x)= ..

Let gi :

Let gi : [π/8 , 3π/8] → R, i = 1,2 and f : [π/8 , 3π/8] → R be functions such thatg1(x)=1, g2(x)= ..