# Arithmetic progression - math 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:
${a}_{n}={a}_{1}+\left(n-1\right)\cdot d$

Sum of n AP members:

${s}_{n}=n\cdot \frac{{a}_{1}+{a}_{n}}{2}$

#### Number of problems found: 191

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.
• 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.
• Suppose 3
Suppose that a couple invested Php 50 000 in an account when their child was born, to prepare for the child's college education. If the average interest rate is 4.4% compounded annually, a, Give an exponential model for the situation b, Will the money be
• 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, from the second 4 and keep the third, we get the geometric sequence. Find AP and GP members.
• Squirrels
The squirrels discovered a bush with hazelnuts. The first squirrel plucked one nut, the second squirrel two nuts, the third squirrel three nuts. Each new squirrel always tore one nut more than the previous squirrel. When they plucked all the nuts from the
• Annual growth
The population has grown from 25,000 to 33,600 in 10 years. Calculate what was the average annual population growth in%?
• Common difference
The 4th term of an arithmetic progression is 6. If the sum of the 8th and 9th terms is -72, find the common difference.
• Annual increase
The number of cars produced increased from 45,000 to 47,000 in 3 years. Calculate the average annual increase in cars in%.
• Find the 21
Find the sum of the six terms of the finite geometric sequence 96, -48, 24, -12
• Harmonic mean
If x, y, z form a harmonic progression, then y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5.
• Harmonic series
Insert four members between 5/3 and 5/11 to form harmonic series (means).
• Insert 7
Insert five harmonic means between 3 and 18

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