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vanessa674
05.05.2020 •
Mathematics
Va rog ajutatima am evaluare. Dau coroana
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Ответ:
(a) Jerry expect to reach his goal by week 43rd.
(b) The total number of push-ups Jerry will have done when he reaches his goal is 2,537.
Step-by-step explanation:
It is provided that Jerry wants to do 100 push-ups. He started with 17 push-ups in Week 1 and planned to increase the number of push-ups by 2 each week.
the number of push-ups done each week by Jerry follows a arithmetic progression with the first terms as, a = 17, common difference as, d = 2 and the last terms as, l = 100.
(a)
Compute the number of week it takes Jerry to reach his goal as follows:
The nth term of an AP is:
Compute the value of n as follows:
Thus, Jerry expect to reach his goal by week 43rd.
(b)
Compute the total number of push-ups he will have done when he reaches his goal as follows:
The sum of n terms of an AP is:
Compute the sum as follows:
Thus, the total number of push-ups Jerry will have done when he reaches his goal is 2,537.