Formulas To Learn

Question 1

Error

Answer 1

Approximate value - Exact Value

Question 2

Percentage error

Answer 2

Approximate value - exact value/ exact value x 100

Question 3

Difference (arithmetic sequence)

Answer 3

Un + 1 - Un

Question 4

Sequence (Un)

Answer 4

U1 + (n-1)d

Question 5

The sum of the first n terms of an arithmetic sequence

Answer 5

Sn = n/2 (U1 + Un). Sn = n/2 [2u1 + (n-1)d]

Question 6

R ( common ration )

Answer 6

Un + 1/ Un

Question 7

Un ( geometric sequences)

Answer 7

Un = U1x r^n-1

Question 8

The sum (Sn) of the first n terms of a geometric sequence

Answer 8

Sn = U1(r^n - 1)/ r-1 = U1(1-r^n)/ 1- r , R not equal to 1

Question 9

Simple Interest formula for calculating future value

Answer 9

FV = PV (1 + r/100 n). PV = present value. N = time in years R = nominal annual interest rate

Question 10

Compound interest formula for future value

Answer 10

FV = PV (1+ r/100k)^kn.

N = time in years R = nominal annual interest rate. K = the number of compounding periods per year

Question 11

Depeciation formula for calculating future value

Answer 11

FV = PV ( 1+ r/100)^n

PV = present value. N = number of periods R = the depreciation rate. Per period (a negative number)

Question 12

Straight line

Answer 12

Y = mx + c. M = slope c = y-intercept

Question 13

Standard/ general form of a straight line

Answer 13

ax + by + c = 0

Question 14

Straight line equation (2)

Answer 14

y - y1 = m (x - x1). M = slope x1, y1 = a point that lies on that line

Question 15

The fine the slope (m)

Answer 15

m = y2-y1/ x2-x1