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How do you find the sum of the arithmetic sequence (x+y)+(x+2y)+...+(x+10y)?

1 Answer

Jun 2, 2018

# 5(2x+11y)#.

Explanation:

In the Usual Notation, we have,

#a=x+y, d=(x+2y)-(x+y)=y, n=10, &,#

#l"=the last term="x+10y#.

#:. S_10=n/2[a+l]#,

#=10/2[(x+y)+(x+10y)]#.

# rArr S_10=5(2x+11y)#.

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