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Beyond Horizon Set 1 Paper 1 · Q14

Paper 1Sequences & series

The mmth term of an arithmetic progression is xx and the nnth term is yy. What is the sum of the first (m+n)(m+n) terms?

Am+n2[(x+y)+x−ym−n]\dfrac{m+n}{2}\left[(x+y)+\dfrac{x-y}{m-n}\right]
Bm+n2[(x−y)+x+ym−n]\dfrac{m+n}{2}\left[(x-y)+\dfrac{x+y}{m-n}\right]
C12[x+ym+n+x−ym−n]\dfrac12\left[\dfrac{x+y}{m+n}+\dfrac{x-y}{m-n}\right]
D12[x+ym+n−x−ym−n]\dfrac12\left[\dfrac{x+y}{m+n}-\dfrac{x-y}{m-n}\right]
Em−n2[(x−y)+x+ym−n]\dfrac{m-n}{2}\left[(x-y)+\dfrac{x+y}{m-n}\right]
Fm+n2[(x+y)+x+ym−n]\dfrac{m+n}{2}\left[(x+y)+\dfrac{x+y}{m-n}\right]

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