Arithmetic progression - practice problems - page 7 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
- Sequence 13
2, 2, 3, 5, 9, 11, 17, 21 If the number 23 is added to the list, which measurement will NOT change?
- Monthly payments 2
Suppose you have selected a new car to purchase for $19,500. If we can finance the car over four years at an annual rate of 6.9% compounded monthly, how much will your monthly payments be?
- Insert
Insert five numbers between 8 and 27 such numbers that, with two given ones, they form the first seven members of the geometric sequence.
- AP - consecutive members
In the arithmetic sequence, a1 = 4.8, d = 0.4. How many consecutive members, starting with the first, need to be added so that the sum is greater than 170?
- The perimeter
The perimeter of the triangle is 24, and the sides are integers and form an arithmetic sequence. Specify the side sizes of this triangle.
- 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
- 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.
- Equation 46771
Insert three numbers between the roots of the equation 4x² - 17x + 4 = 0 so that they form with the given GP numbers.
- Continuation 46483
Continuation of the number series 9,12,18,27
- Regularly 46301
Mišo 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?
- Arithmetic 44181
Determine the arithmetic sequence. a3 + a4 = 10 a2 + a5 = 11
- Previous 43371
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 circumference 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. Fi
- 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.
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