ARITHMETIC PROGRESSIONS
(iv) az-a, = 1 - 1 = 0
a-a, = 1 - 1 = 0
a.-a = 2-1 = 1
Here, az -a, = a, -a, ,-0.
So, the given list of numbers does not form an AP.
EXERCISE 1.1
1. In which of the following situations, does the list of numbers involved make an arithmetic
progression, and why?
(1) The taxi fare after each km when the fare is 15 for the first km and 8 for each
additional km.
(11) The amount of air present in a cylinder when a vacuum pump removes
of the
4
air remaining in the cylinder at a time.
(iii) The cost of digging a well after every metre of digging, when it costs * 150 for the
first metre and rises by 50 for each subsequent metre.
(iv) The amount of money in the account every year, when 10000 is deposited at
compound interest at 8 % per annum.
2. Write first four terms of the AP, when the first term a and the common difference dare
given as follows:
(i) a=10.
d=10
(ii) a= -2, d=0
(i) a= 4. d=-3
(iv) a=-1, d=
2
(v) a=-1.25, d=-0.25
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Answer:
is it from ncert book for
class 10?
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