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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
 one year ago
 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
 one year ago
 one year ago

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cwrw238Best ResponseYou've already chosen the best response.1
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?
 one year ago

noname81Best ResponseYou've already chosen the best response.0
ok but would the difference between the T1 T2 T3 be the same?
 one year ago

cwrw238Best ResponseYou've already chosen the best response.1
yes t2  t1 and t3  t2 are the same  thats what an arithmetical sequence is eg 2 , 4 , 6
 one year ago

cwrw238Best ResponseYou've already chosen the best response.1
now 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
 one year ago

cwrw238Best ResponseYou've already chosen the best response.1
now 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
 one year ago

noname81Best ResponseYou've already chosen the best response.0
awesome.Thanks for the help:)
 one year ago
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