Arithmetic progression - math word problems - page 19 of 20
Arithmetic Progression is just a sequence of numbers so that the common difference of any two consecutive numbers is a constant value.Formula for n-th member is:
an=a1+(n−1)⋅d
Sum of n AP members:
sn=n⋅2a1+an
Number of problems found: 394
- Future of libraries
You know that thanks to the Internet, electronic communications, and the development of online resources, the number of traditional readers annually declines by 17%. This is the irreversible evolutionary shift from old books from libraries to immediately
- Fraction
Fraction $e write as fraction a/b, a, b is integers numerator/denominator.
- Sale
If the product was twice price cut by 25%, what percentage was the price cut in total?
- JUDr. Usury
Judge JUDr. Usury approved the agreement on guilt and punishment were confessed to paying daily interest 0.18%. How big is a yearly interest? The year has 360 days.
- Angles in a triangle
The angles of the triangle ABC make an arithmetic sequence with the largest angle γ=83°. What sizes have other angles in a triangle?
- Sum of series
Determine the 6-th member and the sum of a geometric series: 5-4/1+16/5-64/25+256/125-1024/625+....
- Mailbox
Mailbox is opening at regular intervals 4 times a day. The first time is opened at 8:00 and the last at 16:00. Calculate the hours when the mailbox is opened during the day.
- Machine
The price of the new machine is € 65000. The 12% of residual value is depreciated every year. What will the value of the machine be after 2 years?
- Geometric sequence 3
In geometric sequence is a4 = 40; a9= 1280; sn=2555. Calculate the first item a1, quotient q, and n - number of members by their sum s_n.
- Ray
Light ray loses 1/17 of brightness passing through a glass plate. What is the brightness of the ray after passing through 4 identical plates?
- Series
Your task is to express the sum of the following arithmetic series for n = 24: S(n) = 11 + 13 + 15 + 17 + ... + 2n+9 + 2n+11
- Sequence
Between numbers, 11 and 115, insert n members of the arithmetic sequence whose sum is 2835.
- Interest
Calculate how much you earn for 10 years 43000 deposit if the interest rate is 1.3% and the interest period is a quarter.
- AVG of INT
What is the average of the integers from 9 thought 52 inclusive?
- Sequence
Write the first 7 members of this sequence: a1 = 8 a2 = -9 an+2 = an+1 +4 an
- Infinity
A square with a side 19 long is an inscribed circle, and the circle is inscribed next to the 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 = 20 cm. Calculate: a) the sum of peri
- Sequence
The arithmetic sequence is given: Sn=1656, d=6, an=138 Calculate a1 and n.
- n-gon
Gabo draws an n-gon, in which angles are consecutive members of an arithmetic sequence. The smallest angle is 70° biggest 170°. How many sides have Gabo's n-gon?
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