Math Exercises & Math Problems: Sequence

$1.$ Determine the nth term of the sequence :

$Sequence - Exercise 1$

$2.$ Find the third, sixth and ninth term of the sequence given by the formula :

$Sequence - Exercise 2$

$3.$ Find the sum of the first five terms of the sequence given by the recurrence relation :

$Sequence - Exercise 3$

$4.$ Find out whether the given sequence is bounded from below, bounded from above or bounded :

$Sequence - Exercise 4$

$5.$ Determine the monotonicity of the sequence (sequence is increasing or decreasing) if :

$Sequence - Exercise 5$

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- Arithmetic Sequence