Fill in the blank space for the given series | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

$9^{th}$

Vedclass · Answer

(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 $1280$?

Similar Questions

Fill in the blank space for the given series with the correct alternative.
$1, 6, 13, 22, 33, (...)$

The following questions are based on the five three-digit numbers given below:
$972, 526, 487, 359, 251$
If the digits in each of the above numbers are written in reverse order,which will be the second highest number?

Find out the wrong term from the given series:
$3, 5, 7, 9, 11, 13$

Fill in the blank space for the given series with the correct alternative.
$4, 10, (\ldots), 82, 244, 730$

Choose the correct alternative to fill in the blanks in the series: $ab...bbc...c...ab...ab...b$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

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