4th term of
a.p. os equal to 3times the 1st term and 7th term exceeds twice the third term by 1. find first term and common difference
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from above problem a4=3(a)
a+(4-1)d=3(a)
a+3d=3a
3d=2a
d=(2\3)a
and
a7=2(a3)+1
a+6d=2[a+2d]+1
a+6d=2a+4d+1
2d=a+1
from above d=(2/3)a
2[2/3(a)]=a+1
4a/3=a+1
4a-3a=3
a=3
put a=3 in d=(2/3)a
d=(2\3)×3
d=2
first term=3,common difference =2
a+(4-1)d=3(a)
a+3d=3a
3d=2a
d=(2\3)a
and
a7=2(a3)+1
a+6d=2[a+2d]+1
a+6d=2a+4d+1
2d=a+1
from above d=(2/3)a
2[2/3(a)]=a+1
4a/3=a+1
4a-3a=3
a=3
put a=3 in d=(2/3)a
d=(2\3)×3
d=2
first term=3,common difference =2
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