**Tuesday 7th May, 2019**

Further Mathematics/Mathematics (Elective) 2 (Essay) 30mins 09:30 a.m 12:00 noon

Further Mathematics/Mathematics (Elective) 1 (Objective) 30mins 3:30p.m 5:00 p.m.

**FURTHER MATHS OBJ:1-10: AACACBDABC11-20: DAACCDBDAA21-30: BCCBABABCC31-40: BCCBCCDDDD**

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**No1**

NUMBER 1 FINAL ANSWER IS 6/26

**====================================(2a)**

Using y2 - y1/x2 - x1

Where y2 = 7, y1 = -5,

X2 = -2, and X1 = 7

7 - -5/-2 - 7

=7+5/-9

=12/-9

=4/-3

Coordinate points :

-4/3(3 : 2)

=-12/3 : -8/3

= -4 : -2⅔

X = (-4, 2⅔)

(2b)

2/1-√2 - 2/2+√2

=2(2+√2)-2(1-√2)/(1-√2)(2+√2)

=4+2√2 - 2+2√2/2+√2-2√2 - 2

=2 + 4√2/-√2

=(2+4√2)(-√2)/-√2(-√2)

= -2√2 - 4(2)/2

= -8 - 2√2/2

= -4 - √2

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**No3**

**(3)Sn = A/2[2n+(n-1)d]Where Sn = 165a = -3, d = 2165 = A/2[2(-3)+(n-1)2]165 = n[-6+2n-2]/2165×2 = n[2n - 8]330 = 2n **

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