Write a formula for the general term the nth term of the ari

Write a formula for the general term (the nth term) of the arithmetic sequence, a_1, a_, a_3, a_4. Then, use the formula for a_n to find a_20. the 20th term of the sequence. 6, 4, 2, 0. a_n = (Simplify your answer.) a_20 =

Solution

6,4,2,0...

nth term of arithmetic sequence is given by

an = a1 + (n-1)d

where d is the common difference

a1 = first term

an = 6 + (n-1)(-2)

an = 6 - 2(n-1)

20 th term is plug n = 20

a20 = 6 - 2(20-1)

a20 = -32