Answer
The provided statement is false.
The true statement is: “Thenth term of an arithmetic sequence whose first term is \[{{a}_{1}}\]and whose common difference is d is:\[{{a}_{n}}={{a}_{1}}+\left( n-1 \right)d\]”.
Work Step by Step
Since the nth term of an arithmetic sequence is:
\[{{a}_{n}}=a+\left( n-1 \right)d\]
Where a is the first term, n is total number of terms, and d is the common difference.
Then, the nth term of an arithmetic sequence whose first term is \[{{a}_{1}}\]and whose common difference is d will be:
\[{{a}_{n}}={{a}_{1}}+\left( n-1 \right)d\]
Therefore, the provided statement is false.
