he 4th term of AP is thrice the first and the 7th term exceeds twice the third term by 11. Find AP
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Step-by-step explanation:
4th term=3(first term)
a+3d=3a
3d=3a-a=2a
So d =2a/3.....eq.1
7th term=2(third term)+11
a+6d=2(a+2d)+11
a+6d=2a+4d+11
6d-4d=2a-a+11
2d=a+11
d=(a+11)/2......eq.2
From 1 and 2
2a/3=(a+11)/2
2(2a)=3(a+11)
4a=3a+33
4a-3a=33
a=33
Put this value in equation 1
d=(2×33)/3 = 22
So, first term =a=33
Second term =a+2d=33+2(22)
=33+44=77
Third term =a+2d+d=77+22=99
So AP,
33,77,99...........
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