Here is the list of exercises on numerical sequences. Each corrected exercise is accompanied by indications, reminders of the course, and methodological advice, which allows you to practice independently.
17 exercises

N°1614 (numerical sequences) : The purpose of this exercise on numerical sequences is to calculate terms of a sequence defined from a rational fraction function.

N°1615 (numerical sequences) : The purpose of this exercise on numerical sequences is to calculate terms of a sequence defined by a linear function.

N°1616 (numerical sequences) : The purpose of this exercise on numerical sequences is to calculate terms of a sequence defined by a power function.

N°1617 (numerical sequences) : The purpose of this exercise on numerical sequences is to calculate terms of a sequence defined from a fraction and a square root.

N°1618 (numerical sequences) : The purpose of this exercise on numerical sequences is to calculate terms of a sequence defined by recurrence with a linear function.

N°1619 (numerical sequences) : The purpose of this exercise on numerical sequences is to calculate terms of a sequence defined by recurrence with a quadratic function.

N°1620 (numerical sequences) : The purpose of this exercise on numerical sequences is to write in algebraic form one of the terms of the sequence.

N°1621 (numerical sequences) : The purpose of this exercise on numerical sequences is to write in algebraic form one of the terms of the sequence.

N°1622 (numerical sequences) : Exercise on the direction of variation of a simple numerical sequence: constant sequences, increasing sequences and decreasing sequences.
Exercise example :
Let the sequence (`u_(n)`) be defined for any natural number n by `u_(0)= 3 ` and `u_(n+1)` = `3+u_(n)`.
Is this sequence increasing or decreasing?
1622
numerical sequences
11th Grade  12th Grade

N°1623 (numerical sequences) : Exercise on the direction of variation of a numerical sequence with a fraction: constant, increasing and decreasing sequences.

N°1624 (numerical sequences) : Exercise on arithmetic sequences, on geometric sequences and on common difference and on common ratio.
Exercise example :
Let the sequence (`u_(n)`) defined for any natural number n by `u_(0)= 3 ` and `u_(n+1)` = `7+u_(n)`.
1. Is (`u_(n)`) an arithmetic or a geometric sequence ?
2. What is the reason of (`u_(n)`)
3. Give the expression of `u_(n)` as a function of n.
1624
numerical sequences
11th Grade  12th Grade

N°1625 (numerical sequences) : Exercise on geometric sequences, on arithmetic sequences and their reason.
Exercise example :
Let the sequence (`u_(n)`) defined for any natural number n by `u_(0)= 1 ` and `u_(n+1)` = `9*u_(n)`.
1. Is (`u_(n)`) an arithmetic or a geometric sequence?
2. What is the reason of (`u_(n)`).
3. Give the expression of `u_(n)` as a function of n.
1625
numerical sequences
11th Grade  12th Grade

N°1626 (numerical sequences) : This exercise allows you to practice the calculation of the terms of an arithmetic sequence from its common difference and its first term.
Exercise example :
Let (`u_(n)`) be an arithmetic sequence of common difference 6, and of first term `u_(0)= 1 `.
1. Give the expression of `u_(n)` as a function of n.
2. Compute `u_(3)`
1626
numerical sequences
11th Grade  12th Grade

N°1627 (numerical sequences) : This exercise allows you to practice the calculation of the terms of a geometric sequence from its common ratio and its first term.
Exercise example :
"Let (`u_(n)`) be a geometric sequence of reason 8, and of first term `u_(0)= 2 `. Give the expression of `u_(n)` as a function of n
. Compute `u_(5)`.
"
1627
numerical sequences
11th Grade  12th Grade

N°1628 (numerical sequences) : This exercise allows you to practice calculating the sum of the terms of an arithmetic sequence from its common difference and its first term.
Exercise example :
Let (`u_(n)`) be an arithmetic sequence of common difference 6, and of first term `u_(0)= 1`. Let S be the sum of `u_(3)` to `u_(25)`. S=`u_(3)`+`u_(4)`+`u_(5)`+`. . .`+`u_(25)`.  Compute the number of terms in S.
 Compute S.
1628
numerical sequences
11th Grade  12th Grade

N°1629 (numerical sequences) : This exercise allows you to practice calculating the sum of the terms of an arithmetic sequence.

N°1630 (numerical sequences) : This exercise allows you to practice calculating the sum of the terms of a geometric sequence from its common ratio and its first term.
Exercise example :
Let (`u_(n)`) be a geometric sequence of common ratio 2, and of first term `u_(0)= 2 `. Let S be the sum of `u_(2)` to `u_(14)`. S=`u_(2)`+`u_(3)`+`u_(4)`+`. . .`+`u_(14)`. Calculate `u_(2)`
 Calculate `u_(14)`.
 Deduce S.
1630
numerical sequences
11th Grade  12th Grade
The numerical sequences topic is available for : 11th Grade, 12th Grade
List of exercises by class : middle and high schools, 6th Grade, 7th Grade, 8th Grade, 9th Grade, 10th Grade, 11th Grade, 12th Grade.