Unit 7 Name: Date: Integrated Math 4G: HMWK

Unit 7: Series – Days 1-2 Homework

Day 1 Homework – Arithmetic Series Green Notes (#1-4) Evaluate the following sums (this is a review!).

1) ∑𝑛− 14

𝑛=1

2) ∑3𝑛 + 28

𝑛=3

3) ∑5𝑛 + 36

𝑛=2

4) ∑−𝑛 − 34

𝑛=1

(#5-6) Write the following series in summation notation (this is a review!). 5) 10 + 7 + 4 +⋯ 6) 1 + 5 + 9 + 13 +⋯ (#7-8) Find the number of terms for each series. 7) 4 + 9 + 14 +⋯+ 44 8) 17 + 25 + 33 + 41 +⋯+ 73 (#9-13) Find the sum of the following finite series. 9) 23 + 26 + 29 +⋯+ 185 10) 10 + 20 + 30 +⋯+ 250 11) 27 + 22 + 17 + 12 +⋯+ (−103) 12) 80 + 76 + 72 + 68 +⋯+ 8 13) The first 70 even numbers. Day 2 Homework – Geometric and Convergent Series Yellow Notes (#1-4) Find the sum of each of the following series. 1) (−8) + 16 + (−32) + 64 +⋯ find 𝑆10 2) 3 + 9 + 27 + 81 +⋯ find 𝑆8 3) (−3) + 6 + (−12) + 24 +⋯ find 𝑆9 4) For 𝑎𝑛 = 3 ∙ (−2)𝑛−1 find 𝑆9 (#5-7) Are the following series convergent or divergent? 5) (−1) + 2 + (−4) + 8 +⋯ 6) 1000 + 750 + 562.5 + 421.875 +⋯ 7) 18000 + 12000 + 8000 +⋯ (#8-11) Find the sum of the following convergent infinite series. 8) 40500 + 27000 + 18000 + 12000 +⋯ 9) 12000 + 9000 + 6000 + 4000 +⋯ 10) 480 + 240 + 120 + 60 +⋯ 11) 500 + 200 + 80 + 32 +⋯

Unit 7 – Day 1 Name: Date: Integrated Analysis: HMWK Arithmetic Series (#1-4) Evaluate the following sums (this is a review!).

1) ∑𝑛− 14

𝑛=1

= _______ 2) ∑3𝑛 + 2 = _______8

𝑛=3

3) ∑5𝑛 + 36

𝑛=2

= _______ 4) ∑−𝑛 − 34

𝑛=1

= _______

(#5-6) Write the following series in summation notation (this is a review!). 5) 10 + 7 + 4 +⋯ 6) 1 + 5 + 9 + 13 +⋯ _____________ _____________ (#7-8) Find the number of terms for each series. 7) 4 + 9 + 14 +⋯+ 44 8) 17 + 25 + 33 + 41 +⋯+ 73 ______ ______

Unit 7 – Day 1 (#9-13) Find the sum of the following finite series. 9) 23 + 26 + 29 +⋯+ 185 10) 10 + 20 + 30 +⋯+ 250

11) 27 + 22 + 17 + 12 +⋯+ (−103) 12) 80 + 76 + 72 + 68 +⋯+ 8

13) The first 70 even numbers.

Unit 7 – Day 2 Name: Date: Integrated Analysis: HMWK Geometric and Convergent Series (#1-4) Find the sum of each of the following series. 1) (−8) + 16 + (−32) + 64 +⋯ find 𝑆10 2) 3 + 9 + 27 + 81 +⋯ find 𝑆8 ____________ ____________ 3) (−3) + 6 + (−12) + 24 +⋯ find 𝑆9 4) For 𝑎𝑛 = 3 ∙ (−2)𝑛−1 find 𝑆9 ____________ ____________

Unit 7 – Day 2 (#5-7) Are the following series convergent or divergent? 5) (−1) + 2 + (−4) + 8 +⋯ 6) 1000 + 750 + 562.5 + 421.875 +⋯ 7) 18000 + 12000 + 8000 +⋯ (#8-11) Find the sum of the following convergent infinite series. 8) 40500 + 27000 + 18000 + 12000 +⋯ 9) 12000 + 9000 + 6000 + 4000 +⋯

10) 480 + 240 + 120 + 60 +⋯ 11) 500 + 200 + 80 + 32 +⋯