## Thinking Mathematically (6th Edition)

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:${{a}_{n}}={{a}_{1}}+\left( n-1 \right)d$”.
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.