# Sum of an Arithmetic Sequence II

Algebra Level 2

Real numbers $$a_1,a_2,\ldots,a_{99}$$ form an arithmetic progression.

Suppose that $a_2+a_5+a_8+\cdots+a_{98}=205.$ Find the value of $$\displaystyle \sum_{k=1}^{99} a_k$$.

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