Page 32 - Math SL HB Sem 1

5 - The population of a clty at the end of 1972 rvas 150 000 . The popr.rlation ilcreases by
1,3 7o per year.

(u) Write dos:r the population at the erxl of 1971 Ar,s' 2t 329O

(b) Find the populatlon at the end of2002. kqs' j b8 318

G [Maxuwnr mark' 6]
The 6rst four terms ofa sequence are 18. 5.1- 162. .186

G) Use all four terms to show that this is a geon:ctric s€qrrence. [2 ntark]

(b) (, Find an expressioo for the nd tenn ofthis geometric sequence- knt' lg 7 j a-l

hts' h.ll
(ri) If the n6 tem: of rhe stqueuce is I 062 882 , find the valne of n. [4 marlcsJ

| . f\,Iaxiruon mark: 6]

(a) Wrrte ctora'n the first tlrrei terms of tle seqtarlce tt" - )n for n >-7 {l markl
,
9' 6rq
Aas
(b) Find

t0 b3 A
f
(, ;"; Ani
It,s' l+ 52-0
!00
(n) Ir, [5 marksJ
tr=ll

B fMaxinrunt mark: 6]

Let /(r)=log,x, -r>0-

(u) Write dor:n the value of

(, f("); Ar, l' i

kfit' o
G) .f(l):

hfl<" +
(t ) ,f(rro). [j narlsJ