RITHMETIC PROGRESSIONS
4. How many terms of the AP:9, 17, 25, ...must be taken to give a sum of 636?
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Given...
AP Series 9,17,25..........636
Formula used:-
Sn= n/2{2a+(n-1)d}
To find :-..
Terms =n=???
Solution.....
Sn=636
n=?
a=9
d=a²-a¹
d=17-9
d=8
Sn=n/2{2a+(n-1)d}
636=n/2{2*9+(n-1)8}
636=n/2{18+8n-8}
636=n{9+8n-8}
636=n(1+8n)
636=n+8n²
=> 8n²+n-636=0
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