QUESTION 2 2.1 Calculate the number of terms in the following arithmetic sequence:
6; 1; -4; -9; ..; -239

2.2 The 3rd term of a geometric series is 18 and the 5th term is 162. Determine the sum of the first 7 terms, where r <0

2.3 The first term of a geometric sequence is 9. The ratio of the sum of the first eight terms to the sum of the first four terms is 97:81. Determine the first THREE terms of the sequence, if all the terms are positive.

Abcd is a parallelogram. the diagram is not drawn to scale. if m

An ant travels at a constant rate of 30cm every 2 minutes. at what speed does the ant travel per minute

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above