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1 vote
2,5, 25/2, ...
find the 10th term

User Swordstoo
by
6.9k points

1 Answer

7 votes

Answer:

The
10^(th) term of the given sequence


t_(10) = (5^(9) )/(2^(8) )

Explanation:

Step(i):-

Given sequence 2 , 5,
(25)/(2)

First term a = 2

The difference of given geometric sequence


d = (r_(2) )/(r_(1) ) = (5)/(2)

Step(ii):-

The
n^(th) term of the given sequence


t_(n) = ar^(n-1)

The
10^(th) term of the given sequence


t_(10) = (2)((5)/(2) )^(10-1)


t_(10) = (2)((5)/(2) )^(9)= (5^(9) )/(2^(8) )

User Moaz Saeed
by
7.4k points
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