JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Analyzing +4 | -1

Let

a_1=0

and

a_1, a_2, a_3, \ldots, a_n

be real numbers such that

\left|a_i\right|=\left|a_{i-1}+1\right|

for all

i

, then the A.M. of the numbers

a_1, a_2, a_3, \ldots, a_n

has the value

A

where

View answer and explanation

Correct option: C

A \geq-\frac{1}{2}

Option C (

A \geq-\frac{1}{2}

) is correct because, by summing the given recurrence relation and using the definition of the arithmetic mean, we can derive that

A \geq-\frac{1}{2}

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