# Arithmetic progression - practice problems

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:

$a_{n}=a_{1}+(n−1)⋅d$

Sum of n AP members:

$s_{n}=n⋅2a_{1}+a_{n} $

#### Number of problems found: 205

- AP members

Insert as many arithmetic sequence members between numbers 1 and 53 that the sum is 702. - On Tuesday

On Tuesday, the temperature of a chemical compound measured 12°C. If the temperature dropped 4 1/2°C per day, what was the temperature after four days? - Finite geometric sequence

Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =?, q =? - Find whole

Find whole numbers between 155 and 232 is divisible by 2, 5 and 10. - Seventh term

The first term of a geometric sequence is 9 and the third term is 1296. Find the seventh term. - Find two 2

Find two decimals between 4.56 and 6.927 so that the difference between any two consecutive decimals is the same. - AP sequence

Identify the 11th term in the pattern by using the rule: Starting number 4 and Add 16. - Recurrence relation

Consider a recurrence relation an = 3an-1 - 3an-2 for n = 1,2,3,4,… with initial conditions a1 = 4 and a2 = 2. Calculate a5. - 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 the car can be financed over a period of 4 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. - In the

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, 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 resident sin 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 2 can get infected in only one way, house - 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. .. .. - 8 wooden

8 wooden poles are used for pillers and length of the pillers are from an arithemetric progression if the second pole is 2 metre and the sixth pole in order 5 meters, find the different between the sixth pole and seventh pole. - 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 students puts $10 in a box. On the 2nd she puts $20 in the box, and so on, putting the same number of 10-dollers notes as the day of the month. How much money will be in the box if she keeps doing this for a the first 10 days of Ja - 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.

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