Arithmetic progression - practice problems - page 8 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
- Saving for education
Suppose a couple invested Php 50 000 in an account when their child was born to prepare for a 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 doubled by the t - 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.
- Squirrels
The squirrels discovered a bush with hazelnuts. The first squirrel plucked one nut, the second squirrel two nuts, and the third squirrel three nuts. Each new squirrel always tore one nut more than the previous squirrel. When they plucked all the nuts from
- Population 37561
The population increased from 29,000 to 31,500 in 5 years. Calculate the average annual population growth in percents. - Annual growth The population has grown from 25,000 to 33,600 in 10 years. Calculate what the average annual population growth in% was.
- Common difference
The 4th term of an arithmetic progression is 6. Find the common difference if the sum of the 8th and 9th terms is -72. - 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%. - Statistical 36383
On the pages of the Czech Statistical Office, we can learn that in 1869, Prague and its suburbs had a total of 10,947 houses; in 1900, there were 18,838 houses. What was the annual percentage "increase" of houses in Prague between 1869 and 1900, assuming
- Six terms GP
Find the sum of the six terms of the finite geometric sequence 96, -48, 24, -12 - Decreasing 36183
Prove that the sequence {3 - 4. n} from n = 1 to ∞ is decreasing. - Harmonic mean
If x, y, and z form a harmonic progression, 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 a harmonic series (means). - Insert 7
Insert five harmonic means between 3 and 18
- Insert four Insert four harmonic means between 3/7 and 3/19
- Insert 5
Insert five harmonic means between 1/2 and 1/26 - HP - harmonic progression 2 Compute the 16th term of the HP if the 6th and 11th terms of the harmonic progression are 10 and 18, respectively.
- HP - harmonic progression
Determine the 10th term of the harmonic progression 6,4,3,… - HP - harmonic progression
Determine the 8th term of the harmonic progression 2, 4/3, 1,…
Find the interior angles of a hexagon if the sizes of the angles form an arithmetic sequence and the smallest angle is 70°.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
