NUS high school mathematics scholarship

Algebra Level 1

A sequence \(T_n\) is given as: \(T_{1}=7;T_{2}=13;T_{3}=19;T_{4}=25\) such that the difference between every two consecutive terms is the ​same.

Find the value of \(T_{1}+T_{2}+T_{3}+\cdots+T_{50}\).


This problem has been taken from the NUS math test for scholarship ASTAR. Test for grade 10.
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