Find the number of 6 -term strictly increasing geometric progressions, such that all terms are positive integers less than 1000.
Two point charges +q=1 μC and −q=−1 μC with mass m=1 g are fixed at the positions ±r⃗ 0 with |r0|=1 m. The charges are released from rest at t=0. Find the time ...
Three identical conducting spheres are located at the vertices of an equilateral triangle ABC. Initially the charge the charge of the sphere at point A is qA=0and the spheres at B and C carry the same charge qB=qC=q. It is known that the sphere B exerts an elect...
He is correct only 1 integer satisfy he mean
There are 100 runners, each given a distinct bib labeled 1 to 100. What is the most number of runners that we could arrange in a circle, such that the product of the numbers on the bibs of any 2 neighboring runners, is less than 1000?
yes it is 3
What is a and what is b?
If two six-sided dice are rolled, the probability that they both show the same number can be expressed as a b where a and b are coprime positive integers. What is the value of a+b ?
Geometry(first one is typo)
Let Æ=sin −1 7/25 . Consider the sequence of values defined by a n =sin(nÆ) . They satisfy the recurrence relation a n+2 =k 1 a n+1 +k 0 a n ,n¸N for some (fixed) real numbers k 1 ,k 0 . The sum k 1 +k 0 can be written as p q , where p...
Let Æ=sin −1 7 25 . Consider the sequence of values defined by a n =sin(nÆ) . They satisfy the recurrence relation a n+2 =k 1 a n+1 +k 0 a n ,n¸N for some (fixed) real numbers k 1 ,k 0 . The sum k 1 +k 0 can be written as p q , where p...
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