Question

Give an algebraic expression for the pattern 1,8,27,64.........

• A. $n^2+n$
• B. $n^3$
• C. $n^2+2n$
• D. $n^3-3$

Answer 1

The correct option is B $n^3$

Each term in the pattern is cube of a number.
$(1{)}^3=1$, (first term; n = 1),
$(2{)}^3=8$, (second term; n = 2)
$(1{)}^3=1$, (third term; n = 3) and so on .
So, the expression of the above pattern is $n^3$ where n= 1,2,3.......