) Write an equation for the sequence: 

n 1 2 3 4 an 10 16 22 28

an =   n+  

 

B) Use your equation from part A to find the 85th term of the sequence. 

a85 =   

 

C) Use your equation from part A to find when an = 460 (what is the term number when the term value is 460?).

n =   

The point lies on the curve .

1. If is the point use your calculator to find the slope of the secant line ( correct to six decimal places) for the following values of .

   1. 1.5

   2. 1.9

   3. 1.99

   4. 1.999

   5. 2.5

   6. 2.1

   7. 2.01

   8. 2.001

2. Using the results of part (a), guess the values of the slope of the tangent line to the curve at .

3. Using the slope from part (b), find an equation of the tangent line to the curve at .

The point lies on the curve .

1. If Q is the point , use your calculator to find the slope of the secant line PQ ( correct to six decimal places) for the following values.

   1. 0

   2. 0.4

   3. 0.49

   4. 0.499

   5. 1

   6. 0.6

   7. 0.51

   8. 0.501

2. Using the results of part (a), guess the value of the slope of the tangent line to the curve at

3. Using the slope from part (b), find an equation of the tangent line to the curve at .

4. Sketch the curve, two of the secant lines, and the tangent line.

1.) write the next three of the given sequence 1, 1/3, 1/9, 1/27, __, __, __,

2.) Given the harmonic sequence of 8, 16/3, 4, __, find the 8th term.

3.) Insert 3 harmonic mean between - 1/2, _____, ______, _______, and 1/ 14. 5.)

The first two terms of the harmonic sequence are 5 and 6. Which term of the sequence will be 30?