This maiden is based on your work on M U123 up to and including Unit 9. [a] {i} For the nite arithmetic sequence 5, s, 11,..., 44. write down the rst term a, the difference d, and the last term L? and hence nd the number of terms 51 of the sequence. lSheck that your answer is correct. {ii} Use an appropriate formula from Unit 9. Subsection 1.] to nd the sum of the arithmetic sequence in part [ai]. {h} Expand the hrackets in the following expressions. {i} [43SHT1'I9] {a} (a: 51:]? (c) Factorise 35:12 49:8. {d} {i} Factorise the quadratic ecpressian 9:2 | 39: 28. {ii} Use your answer to part {di} to solve the quadratic sanction $2 | 3m 28 = U. showing each step in your reasoning. lUheclr that your solution is correct. [e] A. student writes down the following piece of work. which contains an error in the reasoning. The emulation is: 51-195 =0 Add B; to each side: 53' = By Divide each side as :1: 5: B {i} Substitute y = 19 into the left-hand side of the equation ya 191:; = U. and explain why this shows that 3; =19 is indeed a solution of the equation. {ii} Write out a complete solution of the equation 3;: 193; = U. [iii] Explain, as if directly to the student, why their solution is inadequate. [f] Solve the following equation, checking that your solution is correct: 24 T2 Qc cl'