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The number of the terms of the series 10 9(2)/(3) 9(1)/(3) . will amount to 155 is (a) 30 (b) 31 (c) Both (a) and (b) (d)None of these?
Most Upvoted Answer
The number of the terms of the series 10 9(2)/(3) 9(1)/(3) . will amou...
Solution:

The given series is 10, 9(2/3), 9(1/3), ...

The common ratio of the series is (2/3)

Let the number of terms be 'n'

∴ 10 x (2/3)^(n-1) = 1 55

On solving this equation, we get n = 31

Hence, the number of terms in the series is 31.

Answer: Option (b) 31
Community Answer
The number of the terms of the series 10 9(2)/(3) 9(1)/(3) . will amou...
10, 9 2/3,9 1/3, 9
d= -1/3
a= 10
Sn= n/2 [2a + (n - 1)(-1/3)]
Sn=155= n/2 [2(10)+ [-n/3 + 1/3]]
310=n[20 + [-n/3 + 1/3]]
lets try the options (A) and (B)
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The number of the terms of the series 10 9(2)/(3) 9(1)/(3) . will amount to 155 is (a) 30 (b) 31 (c) Both (a) and (b) (d)None of these?
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