The terms 5x+2, 7x-4, and 10x+6 are consecutive terms of an arithmetic sequence. Determine the value of x and state the three terms. I was just introduced to Tn=T1+(n-1)d so if I can answer using this equation that would be great

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an arithmetical sequence has a common difference (d) so in this case d = (7x - 4) - (5x + 2) = 2x - 6 also d = (10x + 6) - (7x - 4) = 3x + 10 therefore 2x - 6 = 3x + 10 do you follow this?

ok but would the difference between the T1 T2 T3 be the same?

yes t2 - t1 and t3 - t2 are the same - thats what an arithmetical sequence is eg 2 , 4 , 6

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