Page 31 - Math SL HB Sem 1

Past Yra ", 6.urthYn s Catqete.t)

[tVaxinum mark: 6]
^.
'
I . Corrsider the ari*uuetic sequer)ce l. 5, g,
I I ,
hnt. ioz [3 narksJ
(a) Fild rr,o, ,

O) Fmtl the v-alue of r so that u An s.. 5l
, = 152 _
[3 morksJ
[Maxinum nark: 6J

2 . Cousrder the ilfilite geometric sequence 1000, _1g00, _64g,
10g0,
(a) Finrl the conulon ratio.
A*r'. -o.b p uorkJ

A"s, '30 '2
(b) Find the 10t temr.
[2 uarksJ
Lnt.
(c) Fiud the e:act suu ofthe infinite sequence. lS19
[2 ntarksJ

J . Consider the nfuilte geotretrit sequerrce 25 - 5, 1 . 0 2 ,

AvS. O a
(a) Fncl the commorr ratio
(b) Fincl

(, the 10m te.m; N,s, l.r-cTlo -5

(ir) atr expression for the n,L tenn ,Le (
A.t ;)^-'
4,,rs'
(c) Furcl the srrm of the ir$nite seqrrence. jl L5

f' Giveo that p=log45. s = 1oc,2 ,rxpress the following rn rertrs of p aadior q.

(a) Iog, 10
h','t s P++

(b) Iog, 8 jaL
Ar" s
(c) Iog" 2.5 h.s Y-+