Let an be a sequence such that a1+a2+......

Let `a_n` be a sequence such that `a_1+a_2+.....+a_n= (n^2+3n)/((n+1)(n+2))` If `28sum_(k-1)^(10)1/a_k=p_1p_2p_3.....p_m,`where `p_1p_2.....p_m,`are the first m prime numbers, then m is equal to

`8`

`6`

`7`

`5`

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