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noname81
 one year ago
The terms 5x+2, 7x4, 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+(n1)d so if I can answer using this equation that would be great
noname81
 one year ago
The terms 5x+2, 7x4, 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+(n1)d so if I can answer using this equation that would be great

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cwrw238
 one year ago
Best ResponseYou've already chosen the best response.1an 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?

noname81
 one year ago
Best ResponseYou've already chosen the best response.0ok but would the difference between the T1 T2 T3 be the same?

cwrw238
 one year ago
Best ResponseYou've already chosen the best response.1yes t2  t1 and t3  t2 are the same  thats what an arithmetical sequence is eg 2 , 4 , 6

cwrw238
 one year ago
Best ResponseYou've already chosen the best response.1now solve the equation to find x: 2x  6 = 3x + 10 610 = 3x  2x x = 16 now you can find the first 3 terms by plugging x= 16 into the terms in x first one T1 = 5x+ 2 = 5(16) + 2 = 78

cwrw238
 one year ago
Best ResponseYou've already chosen the best response.1now you can get the 2nd and third by plugging in x = 16 as above or you can use the formula for Tn which you quoted in your question

noname81
 one year ago
Best ResponseYou've already chosen the best response.0awesome.Thanks for the help:)
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