Cambridge International Mathematics

ANSWERS 1

CHAPTER 34(CD question answers)

21 a

1

n

¡

1

n+1

=

n+1¡n

n(n+1)

=

1

n(n+1)

b n^1

n

¡

1

n+1

1

n(n+1)

1 11 ¡^121 £^12

2 12 ¡^132 £^13

3 13 ¡^143 £^14

4 14 ¡^154 £^15

..

.

..

.

99 991 ¡ 1001 99 £^1100

100 1001 ¡ 1011 100 £^1101

c 1 £^12 + 2 £^13 + 3 £^14 +::::::+ 100 £^1101

=^11 ¡ 1011

=1¡ 1011

=^100101

22 a

p

102 +(5¼)^2 ¼ 18 : 6 cm

b 2

p

(^102 )^2 +(5¼)^2 ¼ 33 : 0 cm

c

dL=n

p

(^10 n)^2 +(5¼)^2 cm

23 a i 1 , 8 , 27 , 64

ii 1003 = 1 000 000 f1=1^3 ,8=2^3 , 27 = 3^3 ,

64 = 4^3 g

bi 9 , 36 , 100 ,(1+2+3+4+::::+n)^2 or n

(^2) (n+1) 2
4
ii25 502 500
c n^2 +n¡ 1
24 a i 5 ii 9 iii 31 iv 73 v 219
bi 1112 ii10 001 2 iii 100 111 2 iv 1 010 001 2
v10 001 010 2 vi 110 110 000 2
cia 152 b 531 c 3501 d 7108
ii a 7 B 16 b 18516 c 87416 d 47 A (^516)
iii a 100 101 2 b10 111 110 2
c 110 100 100 2 d101 010 111 110 2
10 cm
A
B
IB MYP_3 ANS
cyan magenta yellow black
(^05255075950525507595)
100 100
(^05255075950525507595)
100 100
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