Reason + arithmetic progression - practice problems
Number of problems found: 55
- Arithmetic progressions.
Find the sum of all the numbers between 9 and 204, which is exactly divisible by 3. - Determine 82975
Determine the sum of all positive odd numbers less than 78 - Arithmetic 81808
An increasing arithmetic sequence has an odd number of terms. The middle term is 302. If we remove the 4 largest terms from the sequence, the middle term will be 296. Determine the difference in the sequence. - 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 - Including 71274
We used 1533 digits to number the rough book. How many pages does this book have if each page, including page 1, is numbered? - Specific 66124
The numbers are arranged in a specific logical order. Fill in the missing numbers. 5, 8, 16, 15, 18, 36, 35, 38,?,?, - 14 sticks
I was cleaning up my attic recently and found a set of at least 14 sticks which a curious Italian sold me some years ago. Trying hard to figure out why I bought it from him, I realized that the set has the incredible property that there are no three stick - 2-3-6-15-42- 62474
A series of numbers was created according to a specific key. Uncover it and fill in the last two missing numbers. 2-3-6-15-42-? -? - Quantities 60183
Determine the remaining quantities in the finite geometric sequence, given: n = 4, an = 12.5, sn = 187.5, a1 = ?, q =? - 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? - 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. - Continuation 46483
Continuation of the number series 9,12,18,27 - Regularly 46301
Mišo will start regular morning exercise on the first of January. Once he gets up, he squats regularly. Every next day he does twice as many squats as the previous day. On which day will he do sixteen times as many squats as he did on the third day? - 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 - Arithmetic 40431
Fill the numbers in the place of the asterisk to form an arithmetic sequence. (2, *, 5, *, 8, 9.5,11) - 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 the seventeen numbers
The sum of the 17 different natural numbers is 154. Determine the sum of the two largest ones. - Outermost 19403
Twenty young saplings are planted in a row at a distance of 4.5 meters from each other. There is a well by one of the outermost trees. How many meters do we walk when watering trees if we use two watering cans and one is enough to water two trees? - 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 king
The king divided ducats among his sons. He gave the eldest son a certain number of ducats, gave the younger one ducat less, gave the other one ducat less, and proceeded to the youngest. Then he returned to his eldest son, gave him one ducat less than a wh
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