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Juan Set 2 Paper 1 · Q9

Paper 1Sequences & seriesNumber & counting

For an arithmetic sequence (an)(a_n) with common difference rr, it is given that

a30−a25<53,a25−a8>53.a_{30}-a_{25}<53,\qquad a_{25}-a_8>53.

What is the sum of the possible integer values of rr?

A49
B56
C64
D72
E84

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