Question

3) After knee surgery, your trainer tells you to return to your jogging problem slowly. He suggest jogging for 12 minutes each day for the first week, Fach week Theofler, he suggest that you have to increase the time by 6 minutes per day b Delermine the type of sequence in List the first four terms of this cequence i) How many weeks will it be before you are up to jogging 60 minutes per day ?

Answer 1

be The given data Jogging time, ist week 12 minutes 2nd week 12+ 6 = 18 minutes 3rd week 18+ 6 24 minutes a The sequence is 12. 30 18.2., 24, Hence, the sequence iss. in where, Arithmetic progression. First term, a Distérence, di 12 18 12 24-18 .d 6

(b). First four teams In Arithmatic progression in at(n-1)d 12+(1-16 12 ti t₂ = 12 +(2-1) 6 18 1 t3 12 + 13-1) 6 24 tu -12 + (4-1) 6 30 Therefore, first four terms in the sequence are 7 12, 18, 24, 30 Given tn =.60 7 = ? ta at ( nd 12 + (n-1) 6 = (1-176 60-12 48 (n-1) 6 7.(n-1} 48 6 n-1 8 9 '. Therefore, it takes 9 weeks to reach 60 minutes Jogging