EXERCISE 26B
1 Find the firstfourterms of the sequence withnth term:
a un=2n+3 b un=2n+5 c un=3n+2
d un=3n+5 e un=¡ 2 n+1 f un=¡ 2 n+3
g un=6¡ 3 n h un=17¡ 4 n i un=76¡ 7 n2 Find the firstfourterms of the sequence withnth term:
a un=n^2 +1 b un=n^2 ¡ 1 c un=n^2 +n
d un=n(n+2) e un=n^3 +1 f un=n^3 +2n^2 ¡ 13aFind a formula for the general termunof the sequence: 2 , 4 , 6 , 8 , 10 , 12 , ......
b Hencefind a formula for the general termunof:
i 4 , 6 , 8 , 10 , 12 , 14 , ...... ii 1 , 3 , 5 , 7 , 9 , ......4aFind a formula for the general termunof: 5 , 10 , 15 , 20 , 25 , ......
b Hencefind a formula for the general termunof:
i 6 , 11 , 16 , 21 , 26 , ...... ii 3 , 8 , 13 , 18 , 23 , ......5aFind a formula for the general termunof: 2 , 4 , 8 , 16 , 32 , ......
b Hencefind a formula for the general termunof: 6 , 12 , 24 , 48 , 96 , ......6aFind a general formula for: 1 , 2 , 3 , 4 , 5 , 6 , ......
b Hencefind a general formula for:
i 2 , 3 , 4 , 5 , 6 , 7 , ...... ii 3 , 4 , 5 , 6 , 7 , 8 , ......
iii^11 ,^12 ,^13 ,^14 ,^15 , ...... iv^12 ,^13 ,^14 ,^15 ,^16 , ......
v^12 ,^23 ,^34 ,^45 ,^56 , ...... vi^31 ,^42 ,^53 ,^64 ,^75 ,^86 , ......
vii 1 £ 2 , 2 £ 3 , 3 £ 4 , 4 £ 5 , ...... viii 2 £ 3 , 3 £ 4 , 4 £ 5 , 5 £ 6 , ......
ix 1 £ 3 , 2 £ 4 , 3 £ 5 , 4 £ 6 , ...... x^13 ,^46 ,^79 ,^1012 , ......7aFind a general formula for: 1 , 4 , 9 , 16 , 25 , ......
b Hencefind a general formula for:
i 4 , 9 , 16 , 25 , 36 , ...... ii 0 , 3 , 8 , 15 , 24 , ......
iii^11 ,^14 ,^19 , 161 , 251 , ...... iv^14 ,^29 , 163 , 254 , 365 , ......8 Find a general formula for:In ageometric sequence, each term is found by multiplying the previous one by the same constant.For example: 2 , 2 £ 3 , 2 £ 32 , 2 £ 33 , 2 £ 34 , ...... is geometric as each term is three times the previous
term.C GEOMETRIC SEQUENCES [2.12]
a 1 , 8 , 27 , 64 , 125 , ...... b 0 , 7 , 26 , 63 , 124 , ......
c 3 , 6 , 12 , 24 , 48 , ...... d 24 , 12 , 6 , 3 , 112 , ......Sequences (Chapter 26) 537IGCSE01
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Y:\HAESE\IGCSE01\IG01_26\537IGCSE01_26.CDR Monday, 27 October 2008 2:36:09 PM PETER