Sequences and S...

There is no symmetry in symmetry in legs of Fig

The value of $$1^2+2^2+3^2+\cdots+ n^2$$ is

The product $$ \displaystyle \left ( 1-\frac{1}{n} \right )\left ( 1-\frac{1}{n+1} \right )\left ( 1-\frac{1}{n+2} \right )..\left ( 1-\frac{1}{2n} \right ) $$  Equals

In the following question, the numbers/letters are arranged based on some pattern or principle. Choose the correct answer for the term marked by the symbol (?) 

In a certain language '$$ \displaystyle +\div ?   $$' means 'where are you' , '$$ \displaystyle @-\div    $$' means ' we are here' , and '$$ \displaystyle +@\times    $$' means ' you come here' What is the code for ' Where' ?

How is 'red written in that code ?

7th term of $$\displaystyle\frac{1}{2}$$, $$\displaystyle\frac{1}{4}$$, $$\displaystyle\frac{1}{6}$$ $$\dots\dots$$ is

Find the sum to 90 terms of the series $$5+55+555+\cdots\cdots$$

How is 'vegetables are red flowers' written in this code ?

In a series, $$T_n=2n+5$$, find $$S_4$$.