You’ve looked at the wiki on numeric number patterns now here is a chance for you to see if you have understood it and to try out the new insights.
I am going to set each of you a problem to answer in the comment space below.
Once you have done your problem look at the other answers and see if you agree. If you do, say so and say why in the comments section, and if you disagree suggest a better solution. Remember to put your name with your comment.
Complete this work on Monday 13 April and I will then post a further wiki note and a set of exercises for you. Here goes:
Brendan
4; 7; 10; 13;…
(a) What is the first term of this sequence (T1)?
(b) What is the difference between the terms? (d)
(c) If the rule for this sequence is Tn = d(n) + 1 (You know what d and n are), work out what the value of the 10th term is.
Nontsikelelo
122; 133; 144; 155;…
(a) If the rule for this sequence is Tn= d(n)+c then what is d (the constant difference between the numbers?
(b) What is the value of T3?
(c) By substituting the values of d and n for T3 work out what c is?
Ukho
4; 8; 12; 16;…
(a) What is the value of the second term (T2)?
(b) What is the constant difference between terms (d)?
(c) Which term would have the value 24?
Ryan
15; 12; 9; 6;…
(a) What term has the value 9?
(b) By how much do the terms increase or decrease (the constant difference)?
(c) Work out what term would be -3
Okay, guys, your responses were supposed to be posted here by yesterday! I’m waiting….
122;133;144;155;166
Tn =d(n)+c
A)d=11
B)T3=
Tn =d(n)+c
=11(3)+111
=33+111
=144
C)Tn=d(n)+c
144=11(3)+c
144=33+c
144-33=C
111=C
I can see that you understand this work because you have applied the methods and theory effectively, Nono. Why not try the other students’ problems now for extra practice?