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(B) The given series is $5, 10, 20, 40, \ldots$This is a Geometric Progression $(G.P.)$ where the first term $a = 5$ and the common ratio $r = \frac{1

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$9^{th}$

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(B) The given series is $5, 10, 20, 40, \ldots$This is a Geometric Progression $(G.P.)$ where the first term $a = 5$ and the common ratio $r = \frac{10}{5} = 2$.The $n^{th}$ term of a $G.P.$ is given by the formula $a_n = a \cdot r^{n-1}$.We need to find $n$ such that $a_n = 1280$.Substituting the values,we get $5 \cdot 2^{n-1} = 1280$.Dividing both sides by $5$,we get $2^{n-1} = \frac{1280}{5} = 256$.Since $256 = 2^8$,we have $2^{n-1} = 2^8$.Equating the exponents,$n - 1 = 8$,which gives $n = 9$.Therefore,$1280$ is the $9^{th}$ term of the series.

Fill in the blank space for the given series with the correct alternative.
Which term of the series $5, 10, 20, 40, \ldots$ is $1280$?

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Fill in the blank space for the given series with the correct alternative.Which term of the series $5, 10, 20, 40, \ldots$ is $1280$?

Similar Questions

Find out the missing letters for the given series from the given alternatives.$adb.....ac.....da....cddcb.....dbc....cbda$

Fill in the blank space for the given series with the correct alternative.Which term of the series $5, 8, 11, 14, \ldots$ is $320$ (in $^{th}$)?

Study carefully the following arrangement of letters, digits and symbols to answer these questions. $M, 7 ,\&, 8, L ,P ,@ ,Q ,N ,\beta ,T ,Y ,3 ,2 ,= ,E ,\$ ,4 ,9 ,\#, G ,H ,5$ How many such symbols are there in the arrangement each of which is immediately preceded by a number?

Fill in the blank space for the given series with the correct alternative.$165, 195, 255, 285, 345, (...)$