The sum of the first three terms of a geometric progressi...
The sum of the first three terms of a geometric progression is half its sum to infinity. Find the positive common ratio of the progression.
14
√32
1√3
1√2
Correct answer is B
Let the G.p be a, ar, ar2, S3 = 12S
a + ar + ar2 = 12(a1−r)
2(1 + r + r)(r - 1) = 1
= 2r3 = 3
= r3 = 32
r(32)13 = √32
Solve the equation 3x2 + 6x - 2 = 0 ...
Simplify, correct to three significant figures, (27.63)2 - (12.37)2 ...
Calculate the distance between points L(-1, -6) and M(-3, -5)...
Find the value of a if the line 2y - ax + 4 = 0 is perpendicular to the line y + (x/4) - 7 = 0 ...
Simplify 3√45−12√5+16√20, leaving your answer in surd form....