Examples for secondary school students - page 36 of 229
Number of problems found: 4574
- Common difference 2
What is the common difference of the arithmetic sequence with 20 terms, whose first term is 5a+b and the last term is 43a+20 b?
- Sum of AP members
Find the sum of all the numbers between 8 and 258 that are divisible by 5.
- Use AP sum formula
If x+3x+5x+7x+...+87x=5808, what is the value of x?
- Parabolic sequence
Find the sum of the first nine terms of an arithmetic sequence whose general term is a(n) = 3n²+5
- The product 9
The product of the third and second terms of the arithmetic progression is 3000. If the common difference is 10, find the first term.
- Opposite 78434
We see the tree on the opposite bank of the river at an angle of 15° from a distance of 41m from the river bank. From the bank of the river, we can see at an angle of 31°. How tall is the tree?
- Socks
Ben's favorite colors are blue and green. He has six blue socks and six green socks in his sock drawer. Unfortunately, they are completely mixed up, and one day, he has to grab some socks to wear in complete darkness. How many socks (minimum) does he have
- Quadrilateral PQRS
PQRS is a quadrilateral with P(4,4), S(8,8), and R(12,8). If vector PQ=4*vector SR, find the coordinates of Q. Solve it
- AP five members
Give the arithmetic sequence of 5 terms if the first term is 8 and the last term is 100. Show your solution.
- Arithmetic mean - parabola
Find the value of k so that k² + 2k – 3 is the arithmetic mean between k² + 4k + 5 and k² – 6k + 10.
- Senior students
There are 7000 students at mountain high school, and 2/7 of these students are seniors. If 2/5 of the seniors favor the school forming a debate team and 3/8 of the remaining students, not seniors, are also forming a debate team, how many students do not f
- Geometry: 78014
Good day, Even though it is a trivial task, I don’t know how to deal with it. This is analytic geometry: Find all integers a, b, and c such that the line given by the equation ax+by=c passes through the points [4,3] and [−2,1]. Thank you for your answer
- The midpoint 3
The ranges are 10-20, 20-30, 30-40, and 40-50. If the frequency is 7 15 26 12, what is the midpoint?
- The average 7
The average lifespan for cricket is 90 days, with a standard deviation of 13 days. If we assume that the lifespan of cricket is normally distributed, a. What is the probability a randomly selected cricket has a lifespan of fewer than 75 days? b. What is t
- Hard equations
If a<b and c<d and a+b all/2 = c and c+d all/2 = b, and if d-a = 60, what is b-c?
- Constructed 77874
Squares are constructed above the overhangs and the transom. Connecting the outer vertices of adjacent squares creates three triangles. Prove that their areas are the same.
- Midpoint of line segment
Find the midpoint of the line segment joining the points (10,1) and (-8,-1).
- The triangle 5
The triangle below has vertices A(-1,-2), B(2,2), and C(-1,4). What is the area of △ABCin square coordinate units?
- Sequence:
Sequence: 4,10,40,400,16,000,______, ________ Find these two members.
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