Arithmetic progression + mean - practice problems
Number of problems found: 24
- GP 3 members
Given that 49, X, and 81 are consecutive terms of a geometric progression, find: A. The value of x B. Geometric mean - AP members
Insert as many arithmetic sequence members between numbers 1 and 53 that the sum is 702. - Previous 43371
The sum of three natural numbers, five greater than the previous one, is 204. Which are the numbers? - 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 - 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 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,… - Insert AP member
Insert arithmetic means between 75 and 180. - Find the mean
Find the number between 13 and 29. - AM of three numbers
The number 2010 can be written as the sum of 3 consecutive natural numbers. Determine the arithmetic mean of these numbers. - The sum
The sum of the first ten members of the arithmetic sequence is 120. What will be the sum if the difference is reduced by 2? - Geometric progressiob
If the sum of four consecutive terms of a geometric progression is 80 and the arithmetic mean of the second and fourth terms is 30, then find terms. - Bonuses
Five company employees were paid bonuses, so each successor received 550 USD less than the previous employee. How much did everyone get if a total of USD 11,000 has paid? - Toys 3
Tiffany's toyshop received a shipment of 360 toys. On the first day, 12 were sold the second day, 19 were sold; and on the third day, 26 were sold. How many days will the toyshop run out of toys? - Sequence 11
What is the nth term of this sequence 1, 1/2, 1/3, 1/4, 1/5 ...?
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