Apps. and Interpretation for IBDP Maths Ebook 1 | Page 80

Your Practice Set – Applications and Interpretation for IBDP Mathematics
(b)
For the arithmetic sequence,
(i)
Find the value of the 100th term.
(c)
(ii)
Find the sum of the first 25 terms.
For the geometric sequence,
[5]
(i)
Find the value of the 7th term.
(d)
(ii) Find the sum of the first 14 terms.
[5]
The first m terms of the arithmetic sequence are not less than the first m terms of
the geometric sequence, find the greatest value of m .
[3]
3. Giselle joins a training program in a sports centre. In the first training session Giselle runs
a distance of 2400 metres. She increases her running distance by 200 metres after each
training session.
(a)
(b)
(c)
Find Giselle’s running distance in the n th training session.
[2]
In the x th training session, Giselle will first run further than 10 kilometres. Find
the value of x .
[3]
Find the total running distance in the first sixteen training sessions, giving the
answer in the form
k
a� 10 km .
[3]
Giselle’s best friend, Helena, followed Giselle to join the same training program, but due
to different fitness conditions their running distances in each session can be different. In
the first training session Helena runs a distance of 2000 metres. She increases her running
distance by 5% after each training session.
(d)
(e)
Find Helena’s running distance in the 10th training session.
[2]
After the w th training session, the total running distance of Giselle in the training
program is less than that of Helena at the first time. Find the value of w .
[4]
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