Sum of an Arithmetic Sequence II

Algebra Level 2

Real numbers a1,a2,,a99a_1,a_2,\ldots,a_{99} form an arithmetic progression.

Suppose that a2+a5+a8++a98=205. a_2+a_5+a_8+\cdots+a_{98}=205. Find the value of k=199ak \displaystyle \sum_{k=1}^{99} a_k.

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