Question regarding sequence and series

Algebra Level pending

If a 1 , a 2 , a 3 , , a n a_1, a_2, a_3, \ldots , a_n are in an arithmetic progression with first term a a and common difference d d , find the sum below for r > 1 r>1 .

( a 1 a 2 a r ) + ( a 2 a 3 a r + 1 ) + ( a 3 a 4 a r + 2 ) + + ( a n a n + 1 a r + n 1 ) ( a_1 a_2 \cdots a_r )+(a_2 a_3 \cdots a_{r+1}) + (a_3 a_4 \cdots a_{r+2} )+ \cdots +(a_n a_{n+1} \cdots a_{r+n-1})


The answer is 2.

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