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.

Naomi’s parents want to have 50,000, saved for her college education, if they invest 20000 today and earn 7% interest compound annually, about how long will it take them to save 50 thousand

Igure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below: 4 quadrant coordinate grid showing two parallelograms. figure 1 has vertices at negative 5, 2 and negative 3, 4 and negative 4, 7 and negative 6, 5. figure 2 has vertices at 5, negative 2 and 7, negative 4 and 6, negative 7 and 4, negative 5. which two transformations can map figure 1 onto figure 2? reflection across the y-axis, followed by reflection across x-axis reflection across the x-axis, followed by reflection across y-axis reflection across the x-axis, followed by translation 10 units right reflection across the y-axis, followed by translation 5 units down

Solve the equation. 2x - 8(x+1)= 6(2x - 3)