Let \( a_{1},a_{2},a_{3},\ldots \) be an arithmetic progression with \( a_{1}=7 \) and common difference \( 8 \). Let \( T_{1},T_{2},T_{3},\ldots \) be such that \( T_{1}=3 \) and \( T_{n+1}-T_{n}=a_{n} \) for \( n\ge 1 \). Then, which of the following is/are TRUE?
