Question

nth term of a sequence is 5n+2 what is ots first term and common difference ​

Answer 1

Question :―

$\texttt{nth term of a sequence is 5n+2. }$$\texttt{What is its first term and common}$$\texttt{difference.}$

Given :―

$\mathtt{T_{n} = 5n+1}$

Find :―

1. $\texttt{First term, a}$
2. $\texttt{Common difference, d}$

Answer :―

$\mathtt{T_{n} = 5n+1}$

$\mathtt{T_{1} = \; a \; = 5×1+1 = 5+1 = 6}$

$\mathtt{T_{2} = 5×2+1 = 10+1 = 11}$

$\mathtt{d \; = T_{2} - T_{1} = 11-6 = 5}$