Embibe Experts Solutions for Chapter: Sequence and Series, Exercise 1: KCET (UG) 2020

If the sum of $n$ terms of an $AP$ is given by $S_n=n^2+n$, then the common difference of the $AP$ is

If $a,b,c$ are three consecutive terms of an $A.P.$ and $x,y,z$ are three consecutive terms of a $G.P.$, then the value of $x^{b-c}·y^{c-a}·z^{a-b}$ is

If the middle term of the $\text{A.P.}$  is $300$ then the sum of its first $51$ terms is

The third term of a $\mathrm{G}.\mathrm{P}.$ is $9$. The product of its first five terms is