7/25/2019 Tut 1 APGP POYO (Solutions)
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Tutorial 1 : Arithmetic Progression
Practise on Your Own
1. The sum of the first 20 terms of an arithmetic progression is
50, and the sum of the
next 20 terms is 50 . Find the sum of the first hundred terms of
the progression.
[Ans: 750 ]
2. The sum of the first hundred terms of an arithmetic
progression ith first term aand
common difference d is T. The sum of the first 50 odd!num"ered
terms, that is, the
1st, #rd, 5th,$, %%th, is 10002
1T . Find the &a'ue of d.
[Ans: (0]
#. Find the sum of a'' positi&e integers "eteen 0 and 101
hich are:
)i* di&isi"'e "+ 2
)ii* di&isi"'e "+ 5
)iii* di&isi"'e "+ 2 and 5
)i&* di&isi"'e "+ 2 or 5 "ut not "oth.
[Ans: )i* 2550 )ii* 1050 )iii* 550 )i&* 2500]
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