Math SL
posted by Britney OW on .
An Arithmetic sequence has a tenth term of 17 and a fourteenth term of 30, ind the general term
PLEASE HELP!!!!

a+9d = 17
a+13d = 30
subtract them
4d = 13
d=13/4 = 3.25
then a + 9(3.25) = 17
a = 12.25
term(n) = a + (n1)d
= 12.25 + (n1)(3.25)
= 12.25 + 3.25n  3.25
term(n) = 3.25n  15.5
check:
term(10) = 32.5  15.5 = 17
term(14) = 14(3.25)15.5 = 30 , all is good 
thank you :)