Question

If the 10th term of a gp is 9 and 4th term is 4 then what is its 7th term

Answer 1

☆heya your answer.is☆

The terms of a  G.P. are of form  a, ar, ar2, ar3,....
ar9 = 9
So, r9 = 9/a -----(1)
ar3 = 4 ----- (2)
Cubing both sides of (2), we get,
a3r9 = 64
putting value of r9 in this, we get,
a3 X 9/a = 64
9a2 = 64
a2 = 64/9
a = 8/3
Putting value of a = 8/3 in (2)
8/3 X r3 = 4
r3 = 12/8
Now, 7th term = ar6
                        = 8/3 X (r3)2
                         = 8/3 X 144/64
                         = 6
HOPE IT HELPS YOU!!!!!
THUMBS UP PLEASE !!!    :)

Answer 2

Answer:

Step-by-step explanation:TRICK FOR CET

7th Term is equidistance from 4th term and 10th term

So, 7th term=√10th term ×4th term

=√9×4

=√36

7th term=6

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