Find the 6th term of the sequence \(\frac{2}{3} \frac{7}{15} \frac{4}{15}\),...
-\(\frac{1}{3}\)
-\(\frac{1}{5}\)
-\(\frac{1}{15}\)
\(\frac{1}{9}\)
Correct answer is A
a = \(\frac{2}{3}\), d = \(\frac{7}{15}\) - \(\frac{2}{3}\)
= 7 - 10
= \(\frac{-3}{15}\)
d = - \(\frac{-1}{5}\)
T6 = a + 5d
= \(\frac{2}{3}\) + 5(\(\frac{-1}{5}\)
= \(\frac{2}{3}\) - 1
= \(\frac{2 - 3}{3}\)
= \(\frac{-1}{3}\)
Simplify the expression \(\frac{a^2 b^4 - b^2 a^4}{ab(a + b)}\)
\(a^2 - b^2\)
\(b^2 - a^2\)
\(a^2b - ab^2\)
\(ab^2 - a^2b\)
Correct answer is D
\(\frac{a^2 b^4 - b^2 a^4}{ab(a + b)}\) = \(\frac{a^2 b^24(b^2 - a^2}{ab(a + b)}\)
= \(\frac{ab [(b - a) (b + a)]}{a + b}\)
= ab(b - a)
= \(ab^2 - a^2b\)
decagon
nonagon
octagon
hexagon
Correct answer is C
Sum of all exterior angles is 360\(^o\)
360\(^o\) (30\(^o\) - 40\(^o\))
360 - (130\(^o\))
230\(^o\)
remaining is 46\(^o\) = \(\frac{230}{46}\) = 5
5 + 3 = 8 sides; Octagon
Simplify; \(\sqrt{2}(\sqrt{6} + 2\sqrt{2}) - 2\sqrt{3}\)
4
\(\sqrt{3} + 4\)
4 \(\sqrt{2}\)
4\(\sqrt{3} + 4\)
Correct answer is A
\(\sqrt{2}(\sqrt{6} + 2\sqrt{2}) - 2\sqrt{3}\)
\(\sqrt{12}\) + 2 x 2 - 2\(\sqrt{3}\)
2 \(\sqrt{3}\) - 2 \(\sqrt{3}\) + 4
= 4
In what number base was the addition 1 + nn = 100, where n > 0, done?
n - 1
n + 1
n
n + 2
Correct answer is C
No explanation has been provided for this answer.