JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Application +4 | -1

n

th term of the series

1 + \frac{4}{5} + \frac{7}{{{5^2}}} + \frac{{10}}{{{5^3}}} + ...

will be

View answer and explanation

Correct option: C

\frac{{3n - 2}}{{{5^{n - 1}}}}

Option C (

\frac{{3n - 2}}{{{{5^{n - 1}}}}}

) is correct because the nth term of the series is derived from the corresponding Arithmetic Progression (AP) and Geometric Progression (GP).

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\frac{3}{4}