EXERCISE I For each of the following number patterns: State the rule in words. Write down the next three terms. Calculate the 15th term. 5;7:9;11; (b) (3) (5) (a) (2) (6) 6;11;16; 21; Write down the constant difference. Determine the general rule (nth term). Calculate the 120th term. (c) 10; 12; 14; 16;..

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
icon
Related questions
Question
4:07
←
77/324
Solutions
(a)
(b)
(d)
(1)
(m)
(p)
(s)
(v)
Mind Action Maths Gr 9.p...
(a)
(b)
Draw a table. The constant difference is 5.
The position of the term
T₁
The constant difference X
5(1)
by the position of term
What to do to get the actual
term
The actual term in the
sequence
The nth term is T₁=5n-2
T₁=5n-2
(c)
(d)
Tg 5(24)-2-118
Let T₁ =748
T₁=5n-2
A
(a)
(d)
(g) 2:8;14; 20;
748=5n-2
750=5n
..150=n
EXERCISE 1
For each of the following number patterns:
(1) State the rule in words.
(2)
(3) Write down the next three terms. (4)
(5) Calculate the 15th term.
5:7:9;11;
T150=748
EXERCISE 2
(b)
6:9;12;15;... (e)
(h)
2;0;-2;-4;... (k)
(n)
9;4;-1;-6;.
-12;-6;0;6; (q)
1:34:54
(t)
(c)
....
0
-2
3
T₁=5n-2
T₂ T3
5(2) 5(3)
-2 -2
13
8
(6)
6;11;16;21;.... (c)
15:25:35
(f)
6:10:14;18;
10:7;4;1;.
72
(0)
(1)
-7;-11;-15;... (0)
2;-8;-18;
(r)
1:23: (u)
(w):0;....
8;13; 18; 23;... is a given sequence.
Determine the general rule (nth term).
(3) Which term is equal to 603?
7;16;25; 34;. is a given sequence.
(1) Determine the general rule (nth term).
(3) Which term is equal to 1 798?
13; 19; 25;31;. is a given sequence.
(1) Determine the general rule (nth term).
(3) Which term is equal to 337?
12; 14; 16; 18;... is a given sequence.
(1) Determine the general rule (nth term).
(3) Which term is equal to 810?
O
T700-5(700)-2-3 498
" = .... .... .
Vol
LTE 1
T4
5(4)
Write down the constant difference.
Determine the general rule (nth term).
Calculate the 120th term.
-2
18
(2)
(2)
T₁,
5(n)
-2
5(n)-2
2:3:5.....
(x) 0,25; 0,39;0,53;.....
10;12;14;16;........
2;6;10; 14;.
6:15; 24:33.
18:15;12;..
-6;-11;-16;........
10:9;8;7;
(2) Calculate the 40th term.
(2) Calculate the 56th term.
Calculate the 68th term.
Calculate the 80th term.
Transcribed Image Text:4:07 ← 77/324 Solutions (a) (b) (d) (1) (m) (p) (s) (v) Mind Action Maths Gr 9.p... (a) (b) Draw a table. The constant difference is 5. The position of the term T₁ The constant difference X 5(1) by the position of term What to do to get the actual term The actual term in the sequence The nth term is T₁=5n-2 T₁=5n-2 (c) (d) Tg 5(24)-2-118 Let T₁ =748 T₁=5n-2 A (a) (d) (g) 2:8;14; 20; 748=5n-2 750=5n ..150=n EXERCISE 1 For each of the following number patterns: (1) State the rule in words. (2) (3) Write down the next three terms. (4) (5) Calculate the 15th term. 5:7:9;11; T150=748 EXERCISE 2 (b) 6:9;12;15;... (e) (h) 2;0;-2;-4;... (k) (n) 9;4;-1;-6;. -12;-6;0;6; (q) 1:34:54 (t) (c) .... 0 -2 3 T₁=5n-2 T₂ T3 5(2) 5(3) -2 -2 13 8 (6) 6;11;16;21;.... (c) 15:25:35 (f) 6:10:14;18; 10:7;4;1;. 72 (0) (1) -7;-11;-15;... (0) 2;-8;-18; (r) 1:23: (u) (w):0;.... 8;13; 18; 23;... is a given sequence. Determine the general rule (nth term). (3) Which term is equal to 603? 7;16;25; 34;. is a given sequence. (1) Determine the general rule (nth term). (3) Which term is equal to 1 798? 13; 19; 25;31;. is a given sequence. (1) Determine the general rule (nth term). (3) Which term is equal to 337? 12; 14; 16; 18;... is a given sequence. (1) Determine the general rule (nth term). (3) Which term is equal to 810? O T700-5(700)-2-3 498 " = .... .... . Vol LTE 1 T4 5(4) Write down the constant difference. Determine the general rule (nth term). Calculate the 120th term. -2 18 (2) (2) T₁, 5(n) -2 5(n)-2 2:3:5..... (x) 0,25; 0,39;0,53;..... 10;12;14;16;........ 2;6;10; 14;. 6:15; 24:33. 18:15;12;.. -6;-11;-16;........ 10:9;8;7; (2) Calculate the 40th term. (2) Calculate the 56th term. Calculate the 68th term. Calculate the 80th term.
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning