Find the 77th term of the arithmetic sequence 14,3,-8, ...

-822

Step-by-step explanation:

Let's make an equation (explicit of course)

3 - 14 = - 11

d = - 11

Now we are ready to make an equation!

f (n) = x first term + d (n-1)

=

f (n) = 14 - 11 (n-1)

Let's substitute 77 for n!

f (77) = 14 - 11 (77-1)

f (77) = 14 - 11 (76)

=

14 - 836 = - 822