Solve an answer use mathematical terminology as well as full answers.

Summation Notation Page 1 of 1 Summation Notation Evaluate the following summations. 1 . 2. [ ( + i ' ) i = 3 7-0 10 3. (4i - 3) 4. Z(i -12) 1= 1 5. _ (k2 - 2) 6. (cosri) kes T= 7 7 . 150 [ 1 1 1-2s Li + 4 i +5. Write the following in summation notation. 8 . 50 9. 24 8 16 32 4 51 3 9 27 81 243 10. _ _ 1 1 1 1 3 9 27 81 243 Write the following as a single sum. 11. K2 + K - 12 . EN + EP 13. Compute the sum of the first 120 numbers in the following list: 3, 7, 11, 15, 19, 23, 27, ... 14. A very annoying clock at your house chimes at the beginning of the n" hour, n times. (For example, at 8:00 AM the clock chimes 8 times, at 2:00 PM the clock chimes fourteen times, and at midnight the clock chimes 24 times.) The clock also chimes once at half-past every hour. Determine how many times in total the clock chimes in one full day. Use summation notation to write the form of the series, and then find its sum. 15. A set of Japanese lacquer boxes have been made to fit perfectly one inside the other. (When objects fit inside one another perfectly, we say that they form a "nested" set.) All the boxes are cubical, and they have sides of lengths 1 cm, 2 cm, 3 cm , ..., 15 cm. Find the total volume enclosed by all the boxes combined