The first term of an arithmetic sequence is 6, and the tenth term is 2.

(a) Find the common difference d.
d =

Find the 100th term of the sequence.
a100 =

(b) Find the partial sum of the first ten terms.
S10 =

how do i do this, there's an example I tried following but it did not ask me for the 100th term nor the first ten terms, please ayuda?

1 answer

a(n) = a(1) + (n-1) d
a(10) = 2 = 6 + 9 d
-4 = 9 d
d = -4/9