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12 term of the AS x-2, 4x, 7x+2

12 term of the AS x-2, 4x, 7x+2
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12 term of the AS x-2, 4x, 7x+2

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User Drsealks
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7.6k points

1 Answer

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Let x-2, 4x, 7x+2 be three first terms of arithmetical sequence. Then

a_1=x-2, \\ a_2=4x, \\ a_3=7x+2.
Since
d=a_2-a_1=a_3-a_2, you receive that
d=4x-(x-2)=7x+2-4x=3x+2.
The formula for n-th term of arithmetical sequence is:

a_n=a_1+(n-1)d.
Hence
a_(12)=a_1+11d=x-2+11(3x+2)=x-2+33x+22=34x+20.
answered
User Ben Harper
by
8.9k points
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