DVE YUKAXA Mathematics 3B (VMA3020) Worksheet C [GCNU304A Arithmetic Sequence. and Geometric Sequence] (100%) Programme code/Class/No. : FS Date : Name : Mark : 1 . Find the number of terms in the A.S.: 100, 92, 84, 76, ..., 12 (5 marks) 2. Insert 3 arithmetic means between 5 and 29. (5 marks)Mathematics 3B (VMA3020) DVE TAKEXA (12 marks) 3. Find the sum of the following A.S.: (i) 9 + 15 +21 + 27... to 30 terms (ii) 60 + 57 + 54 + ... + 27 4. Find the number of terms in the G.S.: 3, 15, 75, ...9375 (8 marks)DVE HAKEXA Mathematics 3B (VMA3020) 5 . Insert 2 geometric means between 56 and 7 (8 marks) 6. Find the sum of the following geometric series: (12 mark (1) 2+8+32 ...to 10 terms (ii) 4+12+36 ...+ 8748DVE 4ANAXA Mathematics 3B (VMA3020) 7. a) A clock will strike once at one o'clock, will strike 2 times at 2 o'clock and (8 marks) so on. Find the total number of strikes at one day i.e. 24 hours. b) Two students A and B are reading the same book of 100 pages. A reads 5 (8 marks) pages every day. B reads 1 page on the 1st day, 2 pages on the 2nd day, 3 pages on the 3"d day and so on. How many days will have passed when they will be reading the same page?DVE HAKEXA Mathematics 3B (VMA3020) 8. A construction company needs to pay penalty for the delays in a project. (14 marks) The penalty will be $4000 the first day, the amount will increase by $1000 on each following days. If the company can afford to pay a maximum penalty of $165,000, what is the maximum number of days the project can be delayed? Seroad Of ri bsouborgeruleofMathematics 3B (VMA3020) DVE PHXNXX 9. A string is divided into 6 parts forming a G.S. The shortest length is 3 cm and (10 marks) the longest length is 96 cm. Find the total length of the string. 10. A cell can reproduce 2 cells in one hour. (10 marks) 1 st hour 2nd hour 3rd hour a) How many cells will be reproduced in the 10th hour? b) The total number of cells reproduced in 10 hours