Test: Binomial Series - Ambitious

Double click on maths expressions to zoom
Question 1:   Find the value of 16! 13!
16 13
240
3360
0
Question 2:   Find the value of 4! 0!
Does not exist
1
24
0
Question 3:   Knowing that combinational coefficient C r n = n! ( n-r )!r! , find C 1 5
0
5
25
1
Question 4:   Simplify: ( 3n )! ( 3n+2 )!
1 ( 3n+2 )( 3n+1 )
1 ( 3n+3 ) 2
1 ( 3n+3 )( 3n+2 )
3n 3n+2
Question 5:   Find the coefficient of x 4 in the binomial expansion of ( 2 3 x ) 9
1 x 4
353682 x 4
647378 x 4
326592 x 4
Question 6:   Find the 7 th term of ( 3 x 4 ) 13 in the binomial expansion
938223 x 6 1024
3 7 x 6
2 5 x 6
1 3 x 6
Question 7:   Write down the sum of the first n terms using sigma notation of the following series: 1+23+45+67+8...
n=1 n ( 1 ) n n
n=1 n ( 1 ) n n
n=1 n n
n=1 n ( 1 )n
Question 8:   Find the value of n=1 70 n
70
2500
2485
140
Question 9:   Find the value of r=1 n ( 18r+3 )
n(3 n 2 +3)
9 n 2 +3
3n(3 n 2 +4)
18 n 2 +4
Question 10:   Knowing binomial expansion of e x find e 0.41 by calculating first 5 terms in the series
1.5067144
1.57568
1.497722
1.603416