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Sequences, Series and Progressions

if x is unequ...

Question

if x is unequal to y and the sequences x,a1,a2,y and x,b1,b2,y are in arithmetic progression what is the value of [a2-a1/b2-b1]

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Similar questions

x \neq y

and the sequences

x, a_{1}, a_{2}, y

x, b_{1}, b_{2}, y

A . P

(\frac{a_{2} - a_{1}}{b_{2} - b_{1}})

Q. If the points

(a_{1}, b_{1})

(a_{2}, b_{2})

(a_{1} + a_{2}, b_{1} + b_{2})

are collinear, then show that

a_{1} b_{2} = a_{2} b_{1}

a_{1}, a

b_{1}, b_{2}, . . . .

be the arithmetic progressions such that

a_{1} = 25, b_{1} = 75

a_{1} 00 + b_{100}

. The sum of the first one hundred terms of the progressions

(a_{1} + b_{1}), (a_{2} + b_{2})

, ...... is _______.

b_{i} > 1

i = 1, 2, . . . ., 101

{log}_{e} b_{1} {log}_{e} b_{2}, . . ., {log}_{e} b_{101}

are in Arithmetic Progression (A.P) with the common difference

{log}_{e} 2

a_{1}, a_{2}, . . . a_{101}

are in A.P. such that

a_{1} = b_{1}

a_{51} = b_{51}

t = b_{1} + b_{2} + . . . . + b_{51}

s = a_{1} + a_{2} + . . . . + a_{51}

2 y - x = 8; 5 y - x = 14, y - 2 x = 1

(a_{1}, b_{1}), (a_{2}, b_{2}), (a_{3}, b_{3})

(a_{1} + a_{2} + a_{3} + b_{1} + b_{2} + b_{3})

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