Find the first five terms of each sequence 7 ann2 2n 8 an

Find the first five terms of each sequence. 7, an-_-n2 + 2n 8. an = 2an-1-1, where a,-2 9, an = an-1, where al = 20 Write a recursive definition for each sequence. 10. 5, 22, 39, 56, 11. 2,7,16,25,... Write an explicit formula for each sequence. 12 1, 4,7 10, 13 4,1.5,1, -3.5,. 9-2 Arithmetic Sequences

Answers below:

7. An = -n^2 + 2n

Ao = 0, A1 = 1, A2 = 0, A3 = -3, A4 = -8

9. A1 = 20, A2 = 1/2 * A1 = 10, A3 = 5, A4 = 2.5, A5 = 1.25

11. -2,7,16,25, 25+9 = 34,34+9 = 43,43+9 = 52,52+9 = 61,61+9 = 70

13. 4,1.5,-1,-3,5,-6,-8.5,-11,-13.5,16

Find the first five terms of each sequence. 7, an-_-n2 + 2n 8. an = 2an-1-1, where a,-2 9, an = an-1, where al = 20 Write a recursive definition for each seque

Find the first five terms of each sequence 7 ann2 2n 8 an

Solution

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