Question

4. Write the next three integers in each of
the following pattern.​

Answer 1

Answer:

Step-by-step explanation:

With three integers given as start of a sequence there are numerous ways to continue a ‘pattern’. Generally we look for linear, quadratic etc patterns. As with given solutions - looking for a linear pattern the nth term is 5n - 3 [giving for 4th to 6th terms the values 17, 22, 27].

However one can assume a different pattern nth term to be of the form

2^n +an^2+bn+c

n=1 : 2 + a + b + c = 2

n = 2: 4 +4a + 2b + c = 7

n = 3: 8 + 9a + 3b + c = 12

sloving for a, b, c will give you a = -1, b = 6 and c = -5

Hence you can as nth term of the sequence 2^n - n^2 + 6n - 5

this would give for the next three terms 19, 32, 59

Answer 2

Answer:

PRACTICE EXERCISES

x 10 = 5 marks)

(a) an

(c) ..

In the passage given below, one word has been omitted in each line. Write the missing word

along with the word that comes before and the word that comes after it in your answer

sheets. Ensure that the word that forms your answer is underlined.

The idea of police system to protect a city

originated London. In 1737, a law was passed

(b) ..........

creating a police system 68 men. But as the

city grew poverty increased, looting and rioting

(d) .....

were soon out control in London. In 1829,

(e) canal

Sir Robert Peel formed London Metropolitan Police, with

headquarters in Scotland Yard. This new force Peel

had created was larger, better trained, and

(h)