Q. 14.0( 21 Votes )

Fill in the blanks in the following table, given that a is the first term, d the common difference and the nth term of the AP:


Answer :

I. Given first term (a) = 7

Common difference (d) = 3


n = 8 ,


an = ?


we know that an = a + (n-1)d


So, we have to find a8


a8 = a + (8-1)d = 7 + 7 × 3 = 28


II.


Given first term (a) = -18


Common difference (d) = ?


n = 10, an = 0


a10 = a + (10-1)d


0 = -18 + 9×d


d = 2


III. Given


Common difference (d) = -3


n = 18, an = -5


first term (a) = ?


a8 = a + (18-1)d


-5 = a + 17×(-3)


a = -46


IV. Given first term (a) = -18.9


Common difference (d) = 2.5


n = ?


an = 3.6


we know that an = a + (n-1)d


3.6 = -18.9 + (n-1)2.5


22.5 = (n-1)2.5


9 = n-1


n = 10


V. Given first term (a) = 3.5


Common difference (d) = 0


n = 105 ,


an = ?


we know that an = a + (n-1)d


an = 3.5 + (105-1)0


an = 3.5



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