Question

Consider the sequence 20, 14, 8, 2, -4, ....
(a) Write a recursive rule to represent the sequence.
(b) Write an explicit rule to represent the sequence.
(c) Find the 30th term in the sequence.
The BEST answer gets brainliest!! Hurry now!

Answer 1

$(a)\quad a_{n+1}=a_n-6\\\\(b)\quad a_1=20,\ d=2-8=-6\implies a_n=20+(-6)(n-1)\\\\{}\qquad a_n=-6n+26\\\\(c)\quad a_{30}=-6\cdot30+26 = -154$