[填空题]
Charles has a New Years 7v *;guu2fgach5 /wlqResolution z8 7jzd*8 q jwzbxn9./uvdew+that he wants to be able to complete 100 pushups in oj*wx7e wuqd/vjd +zn.8zb8 9 zne go without a break. He sets out a training regime whereby he completes 20 pushups on the first day, then adds 5 pushups each day thereafter.
1.Write down the number of pushups Charles completes
1.1.on the 4th training day;
$u_4$= .
1.2.on the nth training day.
On the kth training day Charles completes 100 pushups for the first time.
2.Find the value of k.
k= .
3.Calculate the total number of pushups Charles completes on the first 10 training days.
$S_{10}$= .
Charles is also working on improving his long distance swimming in preparation for an Iron Man event in 12 weeks time. He swims a total of 10000 metres in the first week, and plans to increase this by 10 % each week up until the event.
4.Find the distance Charles swims in the 6th week of training.
$v_6$≈ .
5.Calculate the total distance Charles swims until the event.
$S_{12}$≈ m.
