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The arithmetic progressions 2, 5, 8, 11 ... and 3, 10, 17, 24 ... have some common values. What is the largest value less than 800 that they have in common?

 Dec 13, 2020
 #1
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The largest value the sequences have in common is 795.

 Dec 13, 2020
 #2
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S = 3 + 7×113
S = 2 + 3 N, solve for N

 

N = 264

S =2 + (3 * 264) =2 + 792 =794 - The largest value they have in common.

 Dec 13, 2020

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