Question

the 4th term of g.p is 2/3and 7th term is 16/81 find series

Answer 1

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Answer 2

GP:a,a+d,a+2d,a+3d...so on
4th term :
a+3d=2/3........(1)
a+6d=16/81.......(2)
(-)--(-)----(-)----------
-3d=1/3
d=(1/3)/-3
d=1/9
_____________
substitute d=1/9 in equation (1)
a+3(1/9)=2/3
a+1/3=2/3
a=2/3-1/3
a=1/3
_______________
second term
=a+d
=1/3+1/9
=4/9
_______________
third term
=a+2d
=1/3+2*1/9
=11/27
_______________
4th term =2/3( mentioned)
........and so on