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

cwrw238
 2 years 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
 2 years 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
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0awesome.Thanks for the help:)
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