Arithmetic progression - math word problems - page 15 of 19
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: 376
- Chairs
Determine the number of seats in the seventh and ninth rows if the 3rd row has 14 seats and every next row has five more than the previous row. - Eight palm
There grow eight palms by the sea. At the first sitting, one parrot, on the second two, on the third sits four parrots on each other, twice the previous parrots sitting on a previous palm. How many parrots sitting on the eighth palm? - Series and sequences
Find a fraction equivalent to the recurring decimal. 0.435643564356 - Subsequent 3427
Find how many strings there are in the first row if there are 44 strings in the eighth row, and in each subsequent row, there are five more strings than in the previous row. - Subsequent 3312
We have to distribute the amount of 1200 euros to the five successful solvers of the Olympics so that the second and each subsequent one gets 50 euros less than the previous one. How many euros did each get? - Apples in baskets
We have eight baskets. There are four apples in the first basket. In the next basket are 29 apples more than the previous. Find how many apples are in baskets. - Students
In the front row sit three students, and in every other row sit 11 students, more than in the previous row. Determine how many students are in the room when the room is nine lines, and determine how many students are in the seventh row. - 1600 3263
a1 = 1 s40 = 1600 a40 =? - Trees
A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall. - 6 terms
Find the first six terms of the sequence. a1 = 7, an = an-1 + 6 - Previous 3105
How many apples are in the fifth and eighth baskets if there are five apples in the first and 11 more apples in the next than in the previous one? - Gp - 80
One of the first four members of a geometric progression is 80. Find its if we know that the fourth member is nine times greater than the second. - AP 6
Calculate the first five items of an arithmetic sequence if it is given: a2 – a3 + a5 = 20 a1 + a6 = 38 - Subsequent 3056
There are 48 pupils in the third row and 17 more in each subsequent row than in the previous one. Find how many pupils there are in the first and tenth rows. - Raspberries 3034
Find how many raspberries are in the third and tenth basket, if there are three raspberries in the first and eight raspberries more in each. - Kilogram 3024
One kilogram of raisins costs a crown and one kilogram of nuts a crown. They added 5 kg raisins and 3 kg nuts to the mixture. How much does 1 kg of mixture cost? - Calculate 2974
Calculate and find the rule according to which the numbers follow: 600 300 900 1200 2100 3300. Write a few more numbers. - Determine 2938
Determine the first 11 members of the sequence if a12 = 676, d = 29. - Determine 2937
Determine the first 14 members of the sequence if a15 = 225, d = -12 - Determine 2840
Determine the first twelve members of the sequence if a13 = 95, d = 17
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