Natural numbers + arithmetic progression - practice problems - last page
Number of problems found: 70
- 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 - Find the mean
Find the number between 13 and 29. - Differences 80551
Bolek and Lolek each had their own arithmetic sequence. Both Lolek and Bolek's sequence started with the number 2023 and ended with the number 3023. The two sequences had 26 numbers in common. The ratio of Bolek's and Lolka's difference was 5:2. What is t - AP members
Insert as many arithmetic sequence members between numbers 1 and 53 that the sum is 702.
- Triangular numbers
The first four triangular numbers are 1,3,6,10. What is the 10th triangular number? Help: A triangular number or triangle number counts objects arranged in an equilateral triangle. - 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? - Decreasing 36183
Prove that the sequence {3 - 4. n} from n = 1 to ∞ is decreasing. - 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 - Sum of inner angles
Prove that the sum of all inner angles of any convex n-angle equals (n-2).180 degrees.
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