johnmartire818 johnmartire818

02-05-2020
Mathematics

contestada

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

Respuesta :

02-05-2020

Answer:

-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

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