What is the 100th term of the sequence

helle : her is a solution

the general term of the sequence is : Un = U1 + (n-1)d

n = 100 :   U100 = 222 + (100-1)(-5)

                  U100 = 222 - 495 = - 273

the 100 th trem is : U 100 = - 273

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.