2018 NECO MATHEMATICS

7a) A) T3=6 & T7 =30 I)common difference using Tn=a+(n-1)d In the 3rd term; n =3 =>T3=a+(3-1)d=6 =>a+2d=6 equation (1) In the 7th term ;n =7 => T7=a+(7-1)d=30 =>a + 8d=30 equation (1) & (2) Simultaneous A+2d =6 equation (1) A+ 8d=30 equation (2) 0+(1-6d) =-24 => -6d= -24 =>d = -24/-6 =4 II) first term put d=4 into equation Eng NASERDAHER 💪🏻💪🏻💪🏻 Discount percent =15% Discount amount =#600 Actual amount paid on the article =? Original amount on the article =* 15%*=#600 15/100* =600 15*=600*100 15*=60000 *=60000/15 *=#4,000 Therefore actual amount paid on the article =#4,000-#600 =#3,400 Actual amount paid on the article =#3,400 1a) Log 10(20*-10)-log10(*+3)=log105 (20*-10/*+3)=log10 =5 20*-10/*+3=5 5(*+3)=20*-10 5*+15=20*-10 15+10=20*-5* 25=15* *=25/15 *=5/3=1 2/3 1b ENG NASER DAHER 💪🏻💪🏻💪🏻💪🏻 No 4(i) length of Arc of the sector Titter= 72?, r = 14cm L= titter / 360 x 2 pie r ==> L= 72/360 x 2 x 22/7 x 14 =44352/2520 = 17.6cm (ii) perimeter of the sector Perimeter = titter/360 x 2 pie r + 2r = 17.6 +(2x14) =17.6+28= 45.6cm (iii) Area of the sector Area = Titter/360 x pie r? = 72/360 x 22/7 x (14)? = 72 x 22 x 196/2520 Area= 310464/2520 = 123.2cm? I still remain ENGR NASER DAHER 💪🏻💪🏻💪🏻💪🏻💪🏻💪🏻💪🏻

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