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Mathematics 19 Online
OpenStudy (anonymous):

Help please..... The third term of an arithmetic sequence is 21, and the eighth term is 56. The first term is _____.

hartnn (hartnn):

use the general formula of n'th term, TWICE \(\Large a_n = a_1 +(n-1)d\) a1 = 1st term d is the common difference

OpenStudy (anonymous):

hey um im not sure how to solve for that :o

hartnn (hartnn):

ok, 1st equation, 3rd term is 21 so, n =3 a3 = 21 \(\large 21 = a_1 + (3-1)d \\ 21 = a_1 +2 d \) can you find the 2nd equation, similarly ?

OpenStudy (anonymous):

is a1 7 ?

hartnn (hartnn):

yes! that correct :)

OpenStudy (anonymous):

yay thank you :D

hartnn (hartnn):

welcome ^_^

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