Study the linear pattern below.
Calculate the next two terms
of the pattern, i.e. the fourth and
fifth terms and the formula
for the general tern, T
n :
1.1 8; 13; 18; . . .
[ A 1.1 ]
1.2 38; 53; 68; . . .
[ A 1.2 ]
1.3 −23; −15; −7; . . .
[ A 1.3 ]
1.4 54; 41; 28; .. .
[ A 1.4 ]
1.5 −7; −16; −25; .. .
[ A 1.5 ]
Study the following number pattern :
7; 16; 25; . . .
2.1 Say what kind of a pattern it
is. Give a reason.
[ A 2.1 ]
2.2 Calculate the value of
2.2.1 T
11
[ A 2.2.1 ]
2.2.2 n if T
n = 124
[ A 2.2.2 ]
Consider the following number pattern :
28; 35; 42; . . .
3.1 What kind of pattern is it?
Give a reason.
[ A 3.1 ]
3.2 Calculate the value of
3.2.1 T
18
[ A 3.2.1 ]
3.2.2 n if T
n = 203
[ A 3.2.2 ]
Consider the following number pattern :
−134; −161; −188; . . .
4.1 What kind of pattern is it?
Give a reason.
[ A 4.1 ]
4.2 Calculate the value of
4.2.1 T
9
[ A 4.2.1 ]
4.2.2 n if T
n = −404
[ A 4.2.2 ]
Given the linear pattern :
87; 72; 57; . . .
5.1 Calculate the value of T
4
[ A 5.1 ]
5.2 Calculate the value of the
first seven terms.
[ A 5.2 ]
5.3 What is the number and value of
the last positive term?
[ A 5.3 ]
5.4 Give the number and value of the
first negative term,
[ A 5.4 ]
5.5 Calculate the value of
n if T
n > 0
[ A 5.5 ]
5.6 Calculate the value of
n if T
n < 0
[ A 5.6 ]
Given the linear number pattern :
18; 27; 36; . . .
6.1 Calculate the formula for the
general term, T
n
[ A 6.1 ]
6.2 Calculate the value of the
23rd term.
[ A 6.2 ]
6.3 Calculate the number of the term
which has a value of 288.
[ A 6.3 ]
6.4 Which term is the last term
smaller than 165?
[ A 6.4 ]
6.5 Which term is the first term
greater than 380?
[ A 6.5 ]
Given the following linear number pattern :
53; 48; 43; . . .
7.1 Calculate the value of T
7
[ A 7.1 ]
7.2 Calculate the value of n
if T
n = −27.
[ A 7.2 ]
7.3 Which term is the last term
with a positive value?
[ A 7.3 ]
7.4 Which term is the first
nagative term?
[ A 7.4 ]
Consider the following linear
pattern : 63; 55; 47; . . .
8.1 Determine the formula for the
general term, T
n.
[ A 8.1 ]
8.2 Calculate the value of T
7.
[ A 8.2 ]
8.3 Calculate the number of the
term which has a value of −25.
[ A 8.3 ]
8.4 Which term is the last
positive term?
[ A 8.4 ]
Consider the following linear number
pattern : −63; −56; −49; . . .
9.1 Determine the formula for the
general term, T
n.
[ A 9.1 ]
9.2 Which term is the first
positive term?.
[ A 9.2 ]
9.3 Calculate the value of T
18.
[ A 9.3 ]
9.4 Determine which term has
a value of 35
[ A 9.4 ]
9.5 Which term is the first term
greater than 110?
[ A 9.5 ]
9.6 Which term is the last term
smaller than 180?
[ A 9.6 ]
Consider the linear number pattern :
87; 78; 69; . . .
10.1 Determine the value
of T
13
[ A 10.1 ]
10.2 Which term has a value
of 15?
[ A 10.2 ]
10.3 Which term is the last term
greater than −60?
[ A 10.3 ]
10.4 Which term is the first term
smaller than −94?
[ A 10.4 ]
10.5 Which term is the first
negative term?
[ A 10.5 ]
In a linear number pattern
T
10 = 44 and T
19 = 80.
Calculate the first three terms.
[ A 11. ]
T
9 = 32 and T
14 = 47 are two
terms in the same linear number
pattern. Calculate the
pattern, i.e. calculate the first
three terms of the pattern.
[ A 12. ]
T
5 = 5 and T
12 = −9 are two
terms in the same linear number
pattern. Calculate the
pattern, i.e. calculate the first
three terms of the pattern.
[ A 13. ]
T
6 = −26 and T
15 = −53 are two
terms in the same linear number
pattern. Calculate the
pattern, i.e. calculate the first
three terms of the pattern.
[ A 14. ]
T
6 = 27 and T
11 = 47 are two
terms in the same linear number
pattern.
15.1 Calculate the value
of T
15
[ A 15.1 ]
15.2 Calculate the value of n
if T
n = 87.
[ A 15.2 ]
In a linear number pattern
T
9 is 12 greater than T
5 and T
24 = 74.
Determine the pattern.
[ A 16. ]
In a linear number pattern
T
21 is 30 greater than T
6 and
T
13 = 33.
17.1 Determine the value
of T
10.
[ A 17.1 ]
17.2 Which term has a value
of 67?
[ A 17.2 ]
x − 2; x + 2; en 2x − 1 are the
firse three terms of a linear
number pattern.
18.1 Calculate the value of x
[ A 18.1 ]
18.2 Calculate the value of
the nineth term.
[ A 18.2 ]
7x − 4; 5x + 5 en 4x + 6 are the
first three terms of a linear
number pattern.
19.1 Calculate the pattern.
[ A 19.1 ]
19.2 Determine the value of
the sixth term.
[ A 19.2 ]
19.3 Calculate the vale of n so that
T
n < 2.
[ A 19.3 ]
2x − 2; 3x en 5x − 3 are the
first three tems of a linear
number pattern.
20.1 Calculate the pattern.
[ A 20.1 ]
20.2 Determine the value of T
8
[ A 20.2 ]
20.3 Which term is the first term
having a value greater 100?
[ A 20.3 ]