PROGRESSIONS 1 Find the second term of geometric progression that has a common ratio of1 2 and sum to a infinity of 22. 2 Find the number of terms in the geometric progressions 4, −¿ 8, 16, … that must be added up to a give a value of 684. 3 Given 1, x and 2 are three consecutive terms of a se!uence. Find the value of x if the se!uence. " #a$ is an arithmetic progression f #b$ is a geometric progression 4 Given k =1. %1 is a recurring decimal. Find the value of k. 1 ́ 5 &he diagram sho's several circles 'here the radii of the circles increase by 1 unit consecutively. (ho' that the circumferences of the circles form an arithmetic progression but not the areas. )ence, find the total circumferences of the first five circles. 6 Fahmi is allo'ed to spend an allocation of *+1 million 'here the ma,imum 'ithdra'al each day must not e,ceed t'ice the amount 'ithdra'n the day before. -f Fahmi 'ithdra's *+2%% on the first day, determine after ho' many days the amount the money allocated 'ill be used up. . )a/ 0ipta +ooi )oe 1eap 2%14 A and B. the total sale in 6 hours is 145 plates and the number of plates sold in the last hour is 42.m.actly the same number of plates by 2 p. a) 2n one particular day.m. 'here a #a$ (/etch the graph of straight line of . 2n that particular day. b) LINEAR LAW 1 &he diagram sho's part of the graph of y against x.. each day.7 &'o food stalls. stall B sells n plates of fried noodles in the first hour and the sale increases constantly by plates every hour.m. to 2 p.m. 4y 2 p. and the sale increases constantly by m plates every hour. ¿ bx ab + x . -t is /no'n that x and y are related by the e!uation and b are constants. sell fried noodles from 8 a. Find the values of k and m. Find the value of n. stall A sells k plates of fried noodles by 3 a. -f both food stalls happen to sell e.m. )a/ 0ipta +ooi )oe 1eap 2%14 . %$ Find the values of p and q. + qy = 7. the resulting line has a gradient of 1 and passes through # −¿ 6. )a/ 0ipta +ooi )oe 1eap 2%14 . #b$ 0alculate the values of a and b. against 1 x 8hen a graph of 7 1 y is dra'n. #b$ "e #i$ .1 y against 1 x . #a$ :.y . 3 &he diagram belo' sho's a straight9line graph of xy against x. 2 6ariables x and y are related by the e!uation 2p. and the time ta/en.plain ho' a straight line graph can be obtained based on this e!uation.75 #a$ <lot a graph of t against v and dra' the line of best fit. the speed.periment.4 s. )a/ 0ipta +ooi )oe 1eap 2%14 .24 7% %. v #m s-1$ t #s$ 2% %. 5 -n a certain e. 'here k . 7x2.#ii$ 4 &he variables x and y are related by the e!uation x2 y = 2 . find the value of v 'hen t = %. &he follo'ing table sho's the corresponding values of t and v from the e. :. #b$ 8rite the e!uation of the line of best fit obtained #a$ #c$ From the graph.77 4% %. 1$2 = kx + t. v ms91.periment. t of a particle are /no'n to be linearly related. 6 &he variables of x and y are related by the e!uation 2#y . )ence. find the area of the . a straight line is obtained.and t are constants. find the gradient and the intercept on the Y-a. 1$2 against x is plotted. find the values of INTEGRATION 1 (/etch the graph of y = ?x7 . Given that line passes through the points #%.is of the straight line obtained by plotting he graph of y2 against #x > y$. )a/ 0ipta +ooi )oe 1eap 2%14 . 1%$ and # k and t. %$. #b$ )ence. −¿ . #a$ -f the graph of #y . 1? for the domain −¿ 2 ≼ x ≼ 1. 3 &he volume generated by the shaded region 'hen it is revolved through 76%@ about the x9a.is. &hen calculate the area of the shaded region. &he tangent . Find the value of k.is is 62 π unit7. 2 Find the coordinates of points M and N sho'n in the diagram on the above. the x9a.region bounded by y= ?x7 . k. the line x = 2 and x = 1. 4 Given the point P#2. )a/ 0ipta +ooi )oe 1eap 2%14 . 1?. $ on the curve 'ith gradient of function 7x2 – 4x . )ence. 1 = %.is is 2 π unit7. 5 &he volume generated by the shaded region 'hen it is rotated through 76%@ about the y9a. Find the value of k. 1 6 . )a/ 0ipta +ooi )oe 1eap 2%14 . find the e!uation of the curve.at point P is parallel to the straight line y – 2x . Find the value of k. is and the line x = 1 is rotated through 76%@ about the x9a. x2 7 . Find the value of t. the volume 7 (/etch the graph of y = #x .is. the x9a. k. 4$2. )ence. 1$ is a stationary point of a curve 'ith gradient #a$ the value of k.is. the line y = t and the y9a. 1$ dy dx = >1%x . )a/ 0ipta +ooi )oe 1eap 2%14 . #c$ the e!uation of normal at the point #1. 4$2. 8hen the shaded region is rotated through 76%@ about the y9a. 1 .is. #b$ the e!uation of the curve.&he diagram sho's the shaded region bounded by the curve y = generation is 6 π unit7. Find . calculate the volume generated 'hen the region bounded by the curve y = #x . 8 Given that #1.