Arithmetic progression - practice problems - page 8 of 22
Number of problems found: 423
- Covid-19 spread
A Street has 13 houses in a row. Some residents in the first house tested positive for Covid-19. The virus spreads in 2 ways: It can spread to the next house or jump directly to the third house. Residents of house two can get infected in only one way, hou - Inspector and fare-dodging
Jirka rode as a fare-dodger and was caught by the inspector. He was supposed to pay 1 500 Kč, but at first he did not have money and then he forgot about it. If he does not pay on time, for each day of delay he will be charged a penalty amounting to 0.5‰ - GP - sequence
The first three terms of a geometric sequence are as follows: 10, 30, 90. Find the next two terms of this sequence. - Special sequence
What if 2×9=1 3×9=2 4×9=3 5×9=4 6×9=5 7×9=6 8×9=7 9×9=8 10×9=9 then 1×9=??? Answer with solutions. - GP - three members
Insert three numbers between the roots of the equation 4x² - 17x + 4 = 0 so that they form with the given GP numbers. - Number series continuation
Continuation of the number series 9,12,18,27 - Squat exercise
Mike will start regular morning exercise on the first of January. Once he gets up, he squats regularly. Every next day he does twice as many squats as the previous day. On which day will he do sixteen times as many squats as he did on the third day? - Probability
In an election, 2,400,000 voters out of a total of 6,000,000 voted for party Z. Three voters are selected at random. Let the random variable ξ = {number of voters for party Z among the three selected}. Determine: a) the probability distribution, the distr - Arithmetic sequence AP
Determine the arithmetic sequence. a3 + a4 = 10 a2 + a5 = 11 - Number sum
The sum of three natural numbers, five greater than the previous one, is 204. What are the numbers? - 8 wooden
Eight wooden poles are used for pillars, and the length of the pillars is from an arithmetic progression. If the second pole is 2 meters and the sixth pole is in order 5 meters, find the difference between the sixth and seventh poles. - Harry
Harry Thomson bought a large land in the shape of a rectangle with a perimeter of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length. Their longer sides are three consecutive natural numbers. Find o - Saving in January
On the 1st of January, a student puts $10 in a box. On the 2nd, she puts $20 in the box, and so on, putting the same number of 10-dollars notes as the day of the month. How much money will be in the box if she keeps doing this for a) the first ten days of - Arithmetic progression 2 The 3rd term of an Arithmetic progression is ten more than the first term, while the fifth term is 15 more than the second term. Find the sum of the 8th and 15th terms of the Arithmetic progression if the 7th term is seven times the first term.
- The town
The town population is 56000. It is decreasing by 2% every year. What will be the population of the town after 13 years? - The sides
The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle. - Arithmetic sequence filling Fill the numbers in the place of the asterisk to form an arithmetic sequence. (2, *, 5, *, 8, 9.5,11)
- Saving for education
Suppose a couple invested ₱50,000 in an account when their child was born, to save for college. The average annual interest rate is 4.4%, compounded annually. a) Give an exponential model for the situation. b) Will the money have doubled by the time the c - Calculate Calculate the sum of all three-digit natural numbers divisible by five.
- Sequences AP + GP The three numbers that make up the arithmetic sequence have the sum of 30. If we subtract from the first 5, the second 4, and keep the third, we get the geometric series. Find AP and GP members.
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