OPM1501 2022
Assignment 3
Due Date: 15 July 2022
Student name:
Student number:
Unique number: 758508
This document contains questions and step by step solutions.
Hook me up on WhatsApp for further elaborations.
TeeVee
WhatsApp: 081 844 1995
, Based on learning units 5, 6 and 7 of Tutorial Letter 501.
PART A
1. Redraw the flow diagram and complete to get outputs from the inputs on the left. (4 marks)
Answer
2. Use the values above to create a table to represent the inputs and outputs. (2 marks)
Answer
Input 0 2 4 K
Output -4 0 12 (K2-4)
3. Use the sequence: 1, 4, 9, 16 … to answer the following:
What is the 11th term of this sequence? Show all your working.
Name the types of numbers formed by the numbers added in the sequence. (3 marks)
Answer:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121…
3 5 7 9 11 13 15 17 19 21
With the second difference of 2.
The eleventh term is 121
The type of numbers formed are odd numbers.
4. Study the calendar page for July 2021 and describe four number patterns. (4 marks)
Answer:
1; 8; 15; 22; 29 … . . 𝑡𝑛 = 7𝑛 − 6 𝑂𝑟 𝑎𝑛𝑦 𝑝𝑎𝑡𝑡𝑒𝑟𝑛 𝑤𝑖𝑡ℎ 𝑡𝑛 = 7𝑛 ± 𝑐
1; 7; 13; 19; … 𝑡𝑛 = 6𝑛 − 5 𝑜𝑟 𝑎𝑛𝑦 𝑝𝑎𝑡𝑡𝑒𝑟𝑛 𝑤𝑖𝑡ℎ 𝑡𝑛 = 6𝑛 ± 𝑐
1; 9; 17; 25; … 𝑡𝑛 = 8𝑛 − 7 𝑜𝑟 𝑎𝑛𝑦 𝑝𝑎𝑡𝑡𝑒𝑟𝑛 𝑤𝑖𝑡ℎ 𝑡𝑛 = 8𝑛 ± 𝑐
1; 2; 3; 4; 5; … 𝑡𝑛 = 𝑛 + 1 𝑜𝑟 𝑎𝑛𝑦 𝑝𝑎𝑡𝑡𝑒𝑟𝑛 𝑤𝑖𝑡ℎ 𝑡𝑛 = 𝑛 ± 𝑐
5. Lester selected the following pattern of numbers from the calendar. He says that anywhere in the
calendar, for numbers arranged in this pattern, the sum of the outside four numbers will be four
times the number in the middle. Show that this pattern is as said by Lester. How can you check
that what he says is true or false? (2 marks)
Answer:
Opm1501 assignment 3 - 2022 WhatsApp: 081 844 1995
Page 2 of 11
Assignment 3
Due Date: 15 July 2022
Student name:
Student number:
Unique number: 758508
This document contains questions and step by step solutions.
Hook me up on WhatsApp for further elaborations.
TeeVee
WhatsApp: 081 844 1995
, Based on learning units 5, 6 and 7 of Tutorial Letter 501.
PART A
1. Redraw the flow diagram and complete to get outputs from the inputs on the left. (4 marks)
Answer
2. Use the values above to create a table to represent the inputs and outputs. (2 marks)
Answer
Input 0 2 4 K
Output -4 0 12 (K2-4)
3. Use the sequence: 1, 4, 9, 16 … to answer the following:
What is the 11th term of this sequence? Show all your working.
Name the types of numbers formed by the numbers added in the sequence. (3 marks)
Answer:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121…
3 5 7 9 11 13 15 17 19 21
With the second difference of 2.
The eleventh term is 121
The type of numbers formed are odd numbers.
4. Study the calendar page for July 2021 and describe four number patterns. (4 marks)
Answer:
1; 8; 15; 22; 29 … . . 𝑡𝑛 = 7𝑛 − 6 𝑂𝑟 𝑎𝑛𝑦 𝑝𝑎𝑡𝑡𝑒𝑟𝑛 𝑤𝑖𝑡ℎ 𝑡𝑛 = 7𝑛 ± 𝑐
1; 7; 13; 19; … 𝑡𝑛 = 6𝑛 − 5 𝑜𝑟 𝑎𝑛𝑦 𝑝𝑎𝑡𝑡𝑒𝑟𝑛 𝑤𝑖𝑡ℎ 𝑡𝑛 = 6𝑛 ± 𝑐
1; 9; 17; 25; … 𝑡𝑛 = 8𝑛 − 7 𝑜𝑟 𝑎𝑛𝑦 𝑝𝑎𝑡𝑡𝑒𝑟𝑛 𝑤𝑖𝑡ℎ 𝑡𝑛 = 8𝑛 ± 𝑐
1; 2; 3; 4; 5; … 𝑡𝑛 = 𝑛 + 1 𝑜𝑟 𝑎𝑛𝑦 𝑝𝑎𝑡𝑡𝑒𝑟𝑛 𝑤𝑖𝑡ℎ 𝑡𝑛 = 𝑛 ± 𝑐
5. Lester selected the following pattern of numbers from the calendar. He says that anywhere in the
calendar, for numbers arranged in this pattern, the sum of the outside four numbers will be four
times the number in the middle. Show that this pattern is as said by Lester. How can you check
that what he says is true or false? (2 marks)
Answer:
Opm1501 assignment 3 - 2022 WhatsApp: 081 844 1995
Page 2 of 11
