3.9 CHAPTER 3. SEQUENCES AND SERIES
- Observe the patternbelow:
A
B
B
B
C
C
C
C
C
D
D
D
D
D
D
D
E
E
E
E
E
E
E
E
E
(a) If the pattern continues, find the number of letters in the column containing M’s.
(b) If the total number of letters in the pattern is 361 , which letter will be inthe last
column.
- The following question was asked in a test:
Find the value of 22005 + 2^2005.
Here are some of the students’ answers:
(a) Megan said the answer is 42005.
(b) Stefan wrote down 24010.
(c) Nina thinks it is 22006.
(d) Annatte gave the answer 22005 ×^2005.
Who is correct? (“Noneof them” is also a possibility.)
- A shrub of height 110 cm is planted. At the end of the first year, the shrub is 120 cm
tall. Thereafter, the growth of the shrub each year is half of its growth in the previous
year. Show that the height of the shrub will never exceed 130 cm.
More practice video solutions or help at http://www.everythingmaths.co.za
(1.) 01d4 (2.) 01d5 (3.) 01d6 (4.) 01d7 (5.) 01d8 (6.) 01d9
(7.) 01da (8.) 01db (9.) 01dc (10.) 01dd (11.) 01de (12.) 01df
(13.) 01dg (14.) 01dh (15.) 01di (16.) 01dj (17.) 01dk (18.) 01dm
(19.) 01dn (20.) 01dp (21.) 01dq (22.) 01dr (23.) 01ds (24.) 01dt
(25.) 01du (26.) 01dv (27.) 01dw (28.) 01dx (29.) 01dy (30.)01dz
(31.) 01e0
