In an AP, the first term is 2, the last term is 29 and the sum of all the terms is 155. Find the common difference.
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suyash411:
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given that a=2 ,an=29,S=155 ,,,we know that .....
Sn =n/2(a+ an)
155=n/2(2+29)
155=n/2(31)
155/31=n/2
5=n/2
10=n
now, an=a+(n-1)d
29=2+(10-1)d
29-2=9d
27/9=d
3=d
therefore the common difference is 3
Sn =n/2(a+ an)
155=n/2(2+29)
155=n/2(31)
155/31=n/2
5=n/2
10=n
now, an=a+(n-1)d
29=2+(10-1)d
29-2=9d
27/9=d
3=d
therefore the common difference is 3
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