Suppose that we have the following sequence :
a_1=1
a_n=1/2 a_(n-1) , for n> 1

we define a new sequence as such :
b_1=a_1
b_n=b_(n-1)+a_n

find the 50th term of the sequence b_n.
find the 1th term of the sequence b_n.

Tell me how you got the it use the figures to answer questions 1and 2. in each diagram, line k is parallel to line l, and line t intersects lines. 1. based on the diagrams, what is the value of x? 2. how would you verify your answer for x?

Barney & noblet customers can choose to purchase a membership for $25 per year members receive 10% off all store purchases 1. how much would a member pay per year if he bought $50 worth of items each year? 2. write a slope-intercept equation that expresses how much a member pays per year using x to represent his purchases per year 3. how much would a member have to spend per year to pay off his membership fee?

Ron has 8 caps and 4 of his caps are blue. thes rest of his cap are red. how many of ron's caps are red