Arithmetic progression - high school - practice problems - last page
Number of problems found: 319
- Infinity
A square with a side 19 long is an inscribed circle, and the circle is inscribed next square, circle, and so on to infinity. Calculate the sum of the area of all these squares. - Recursion squares
In the square, ABCD has inscribed a square so that its vertices lie at the centers of the sides of the square ABCD. The procedure of inscribing the square is repeated this way. The side length of the square ABCD is a = 16 cm. Calculate: a) the sum of peri - Sequence
The arithmetic sequence is given: Sn=2304, d=2, an=95 Calculate a1 and n. - n-gon
Gabo draws n-gon, which angles are consecutive members of an arithmetic sequence. The smallest angle is 70° biggest 170°. How many sides have Gabo's n-gon?
- Cinema
The Cinema auditorium is built for 3300 people. The first row is planned for 36 seats, and each next gradually 4 more. How many rows of seats will have an auditorium? - Sequence
In the arithmetic sequence, is a1=-1, d=4. Which member is equal to the number 203? - Ravens
The tale of the Seven Ravens was seven brothers, each of whom was born exactly 2.5 years after the previous one when the eldest of the brothers was 2-times older than the youngest, mother all curse. How old were seven ravens brothers when their mother cur - Numbers
Determine the number of all positive integers less than 4183444 if each is divisible by 29, 7, 17. What is its sum? - Lines
How many points will intersect 14 different lines where no two are parallel?
- Sequence 3
Write the first 5 members of an arithmetic sequence: a4=-35, a11=-105. - Sequence 2
Write the first 5 members of an arithmetic sequence a11=-14, d=-1. - Sequence
Write the first 7 members of an arithmetic sequence: a1=-3, d=6. - Crystal
The crystal grows every month 1.2 permille of its mass. How many months to develop a crystal from weight 177 g to 384 g? - Wire
One pull of wire is reduced by its diameter by 14%. What will be the wire diameter with diameter 19 mm over 10 pulls?
- Gauss
Help little C.F. Gauss sum all the integers from 1 to 400. - Geometric mean
Calculate the geometric mean of numbers a=15.2 and b=25.6. Determine the mean by construction where a and b are the length of the lines. - Geometric progression 2
There is geometric sequence with a1=3.6 and quotient q=-2.1. Calculate a17. - Geometric progression
Fill 4 numbers between 4 and -12500 to form a geometric progression. - Profitable bank deposit 2012
Calculate the value of what money lost creditor with a deposit € 5200 for 5 years if the entire duration is interesting 3% p.a. and tax on interest is 19%. Annual inflation is 4.4% (Calculate what you will lose if you leave money lying idle at negative in
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