i am stuck at a question that is asking for the common difference, first term, and general term for the arithmetic sequence the question is

t10=50 and t27=152

i found my d=6 and t1=(-4) so know my equation is: tn=(-4)+(n-1)6 i had asken my teacher to tell me what the general term is and he told me its tn=6n-10.I have tried to get to the answer but i don't know how please help

3 answers

If tn = -4 + (n-1)6
then
tn = -4 + 6 n - 6
or
tn = 6 n - 4 -6
which is
6 n - 10 sure enough

thank you

You are welcome.