MAth

Growth & Decay

100

What is a sequence?

A list of numbers.

200

Define both Arithmetic and Geometric Sequences.

Arithmetic - A sequence with a common difference.

Geometric - A sequence with a constant ratio.

300

What is the formula for finding specific term values for both geometric and arithmetic sequences?

Arithmetic - t_n=t₁+(n-1)d

Geometric - t_n=t₁r^(n-1)

400

Is this equation displaying linear growth or decay?: t₁=9, t_n+1=t_n-4

Linear Decay.

500

What is the millionth term of this sequence?:

3, 5, 7, 9, 11...

2,000,001

Time Series

100

what is the word for the long term direction of the data in a data set? (upwards or downwards).

Trend

200

What is a seasonal index?

multiplier which compares a specific time points average to the overall average of the data.

300

if the seasonal index of Q2 is 0.85, what are the % of sales in that quarter compared to the average?

15% below average

400

What would the seasonal indices of a monthly report (1 year) add to?

12.0 (1.0 per month)

500

describe seasonality in a time series plot and give me an example of high seasonality?

Regular, repeating fluctuations tied to a fixed calendar period

B) An ice cream stores sales quarter is higher in summer.

Bivariate Data

100

if the points appears to be at random flunctuations around a straight line, what type of form the scatterplot have?

Linear form

200

what is bivariate data?

2 variables/ relationships of 2 var

300

When describing the realtionship of a scatterplot, what features is needed to identify the relationship?

Direction, form, strength

400

Weight and length of 40 new-born babies, what type of data is it?

Bivariate and numerical data

500

when shown a non-linear graph, what is the other name for that graph?

Exponential graph

Earth Geomertry and Timezones

100

A plane travels at 400km/h for 3 hours, how far does it travel?

1200km

200

What is the anbgular distance between 23^oW and 65^oE?

90^o

300

if it is 2:00pm in a GMT+10 location, what is the time in a GMT-5 location 

11:00 pm previous day

400

A ship travels 1,112 km south. how manz degrees of latitude has it travelled? use 111.2 km per degree.

10^o south

500

A plane travels from 35^oS, 20^oE to 15^oN, 20^oE. what is the angular difference, and in which direction did it travel?

50^o North

Example Questions

100

An ice cream stores averages $30000 in sales per quarter, In winter, actual sales drop to $10000, but in summer they rise to $45000

A) calculate the seasonal index for winter

B) calculate the deseasonalised index for summer

A) 0.33

B) $30000

300

Identify the relationship of the graph

Weak, positive with a linear association

400

A plane leaves sydney (33^oS, 151^oE) and travels to Tokyo (35^oN, 139^oE). It travels at an average speed of 800 km/h. How long is the flight?

9.6 hours

500

6, 10, 14, 18, 22...

Given the arithmetic sequence above, How many terms in the sequence are SMALLER than 50,000?

12, 499.