# Mathematics

Deternine the formula of the nth term of the sequence if the sum of the second and sixth terms of an arithmetic sequence is 4.the third term is 24 more than the leventh tern

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1. a+d + a+5d = 4
2a + 6d = 4 or
a + 3d = 2

a+2d = a+6d + 24
-4d = 24
d = -6

back in a+3d=2
a -18 = 2
a = 20

so term(n) = a + (n-1)(d)
= 20 + (n-1)(-6)
= 20 - 6n + 6
= 26 - 6n

check: according to my formula
term(2) = 26-12 = 14
term(6) = 26-6(6) = -10 , and their sum is 4 , yeahhh

term(3) = 26-6(3) = 8
term(7) = 26-6(7) = -16
is 8 greater than -16 by 24 ? yes, Yeahhh

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posted by Reiny
2. Owk Reiny would u plz help me understand this"the third term is more dan the 11^th term"what do they mean and what am I supposed 2 do exspecial with the word more

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3. Owk Reiny thank u very much 4 ur help I have found what was confusing me with ur help of corse tnx

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