Mathematics - Sequence & Series Question with Solution | TestHub

The sum of ten arithmetic means between ${\sin }^{2}18^{\circ }$ and ${\cos }^{2}18^{\circ }$ is 5

The product of ten geometric means between $4\tan 15^{\circ }$

A.M. $\ge$ G.M. gives $27abc\le (a+b+c{)}^3$, so the given condition forces equality, $a=b=c$. Then $12a=12$, $a=b=c=1$ and the sum is 3, not 10. False.

True.