Page 41 - Math SL HB Sem 1

BNO]V{I-{L THEORI\,1

EXERCISE
I - Find the r, alue oi

a) 8! b) (4! X7! ) C) . 7l d) 6! -3!
'0t

l4l
^
'' 8l " ror+r c) 4l8l
o:
6l
\\.'ithout using the calcularor, solr.e the follou.ing

5 (,-i)
B c) [, -..]
a) b)
.. (n+2\ | (n+2) t
' .'----
d) e) (n+1)(n+2) |
' (n-1\t 0
nl (n+3)!
write out the following binomiar expansion for ascending p.wers of x until the third
term:

a) ( 1+2x)10 b) (3-2x)a

(1-r)"
") -r d) (2x+3 )5

c) (l-1x)i
)

l Find the term that is independent ofx in the expansion of.

a) (rr- Llrs b) 1r--l 1r"
lx- ,'
i Frnd the indicated term in the expansion:

)'- , eigth rerm
,) ( t + L ,
i d) (lx 2)e , third term
)
-l
blrt. -_ )'n.fourrh rerm .
qp f) r er b). )' . fifih term
.l
c) ( i'+ - ) '', fifthterm

6 Writethe(r+ 1)th term in the expansion of (+ 3x )eas a series ofascending
x
I
poraers of(-2:t). Hence, find the term in r and lerm rhat is independent olr
I L\Dandri-\) -(j- y )'in ascendrng porrers of r.
-1