The 2nd term of an ap is nine times the 5th term and the sum of the first eight terms is 56. find the first term and the common difference.
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Step-by-step explanation:
a2=9a5
a+d=9(a+4d)
a+d=9a+36d
8a+35d______(I)
S8=8/2(2a+(8-1)d)
56=4(2a+7d)_______(II)
eq(II)-eq(I)
8a-+35d=0
-8a+28d=56
_____________
7d=-56
d=-8
2a+7d=14
2a-56=14
2a=70
a=35
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