Chapters
Exercise 1
The fourth term of an arithmetic sequence is and the sixth term is
. Determine the sequence.
Exercise 2
The first term of an arithmetic sequence is and the fifteenth term is
. Find the common difference and the sum of the first fifteen terms.
Exercise 3
Find the sum of the first fifteen multiples of .
Exercise 4
Find the sum of the first fifteen numbers ending in5.
Exercise 5
Find the sum of the first fifteen even numbers greater than .
Exercise 6
Find the angles of a convex quadrilateral, knowing they are in arithmetic sequence and .
Exercise 7
The lower leg of a right triangle is cm in length. Calculate the other two knowing that the sides of the triangle form an arithmetic sequence.
Exercise 8
Calculate three numbers in an arithmetic sequence, whose sum is and the sum of their squares is
.
Solution of exercise 1
The fourth term of an arithmetic sequence is and the sixth term is
. Determine the sequence.
Sequence =
Solution of exercise 2
The first term of an arithmetic sequence is and the fifteenth term is
. Find the common difference and the sum of the first fifteen terms.
Solution of exercise 3
Find the sum of the first fifteen multiples of .
Solution of exercise 4
Find the sum of the first fifteen numbers ending in .
Solution of exercise 5
Find the sum of the first fifteen even numbers greater than .
Solution of exercise 6
Find the angles of a convex quadrilateral, knowing they are in arithmetic sequence and .
The sum of the interior angles of a quadrilateral is .
Hence,
Solution of exercise 7
The lower leg of a right triangle is in length. Calculate the other two knowing that the sides of the triangle form an arithmetic sequence.
is rejected because length is always positive.
Solution of exercise 8
Calculate three numbers in an arithmetic sequence, whose sum is and the sum of their squares is
.
Central term x
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