Answer:

Step-by-step explanation:
Given

Required
Write the variables and constants on different sides

Add 2x to both sides


Add 5 to both sides



Hence, the equation is

Solving further [divide both sides by 5]

She will gain 3% each year and after one year she will gain £15 leaving her total at £515
What are the constraints?
When you graph the constraints the four points you can use are (0,0), (10,0), (0,2), and (6,2).
(10,0) is the point that gives you the maximum value which is 40.
Answer:
a) we know that this is convergent.
b) we know that this might not converge.
Step-by-step explanation:
Given the
is convergent
Therefore,
(a)
The power series
has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3
∴
is convergent.
(b)
-8 could be right on the edge of the interval of convergence, and so might not converge
Answer:
65+42*(n-1)
Step-by-step explanation:
aₙ = 65+42*(n-1)
65, 107, 149, 191, .....