Math problems, about number sequences, math problems about number sequences

Updated on educate 2024-04-01
7 answers
  1. Anonymous users2024-02-07

    a1=5 6,(1 in the lower right corner)d = -1 6,sn=-5, (n in the lower right corner) find n and an (n in the lower right corner).

    Solution: an=a1+d(n-1).

    5/6-n/6+1/6

    1-n/6sn=(a1+an)n/2

    5/6+1-n/6)n/2

    11-n)n/12=-5

    i.e. 11n-n = -60

    Solve this unary quadratic equation:

    n²-11n-60=0

    n-15)(n+4)=0

    Get n = 15 or n = -4 (incompatibility).

    i.e. n=15an=1-15 6=-3 2

    I hope it can help you, I don't understand it, you can ask, if you agree with me, please click the button below to select satisfied, thank you!

    Good luck with your studies!

  2. Anonymous users2024-02-06

    At the beginning of the year after A1.

    After 2 years a-

    After 3 years a- x-

    10 years later a- x -

    1) If in 10 years' time, the per capita housing area in the region doubles compared to today, how much more old housing should be demolished every year?

    a-〖 x⋯-〖=2a

    calculated as x=2) According to the demolition speed of (1), how many years will it take to demolish all the old rolling houses that need to be demolished? Year.

    Therefore, it will take more than 18 years to dismantle it.

  3. Anonymous users2024-02-05

    Ratio: (a3) 2=a1xa4, (a2+d) 2=(a2-d)(a2+2d), (a2) 2+2da2+d 2=(a2) 2+da2-2d. d is not zero, and can be divided by d:

    2a2+d=a2-2d,2a2-a2=-d-2d,a2=-3d=-3x2=-6。

  4. Anonymous users2024-02-04

    a(n+1)-an=3n+2

    an-a(n-1)=3(n-1)+2

    a2-a1=3✖️1+2

    Add the above formula, add it to the left and add it to the right.

    a(n+1)-a1=3【n(1+n)/2】+2nan=3/2【n(n-1)】+2n+1

    You can just merge the formula on the right.

  5. Anonymous users2024-02-03

    a3=4

    Specifically, A3 is the basis. Using the equation of the equal difference series: an=an-1+d, then there is a4 = a3+d

    a5=a3+2d

    a1=a3-2d

    a2=a3-d

    Add the above four mathematical equations together, and there is 5a3=20At this point, the answer is clear.

  6. Anonymous users2024-02-02

    Assuming there are x people, there are a total of 3x+1+2+3+...x-1)=100x

    3x+x(x-1)/2=100x

    x^2-x=194x

    x^2-195x=0

    x=0 (rounding) or x=195 (in line with the topic).

    At this time, there are 195 * 100 = 19,500 table tennis balls.

  7. Anonymous users2024-02-01

    Solution: There are x people, 100x=3+4+.x+2)x=195

    Count the rest yourself, it's always going to be.

Related questions
14 answers2024-04-01

Add an-1 on both sides of the recursive type

an+an-1=3 (an-1+an-2), an+an-1 is the n-1 term of the first proportional series with a2+a1=7 and the common ratio of 3, an+an-1=7*3 (n-2)...1) >>>More

11 answers2024-04-01

1. The common ratio is 1 2 The formula for summing is used in the proportional series. >>>More

4 answers2024-04-01

Equal difference seriesSummary of problem-solving skills and questions: >>>More

10 answers2024-04-01

I also thought about this problem when I was in high school, first of all, the front multiple-choice questions should be done quickly, the method should be used flexibly, and it is not necessary to do the whole process, you can use a special method to bring in the method and a series of quick practices, and then fill in the blanks as much as possible, basically send points in front, there are two difficult points in the back, the first 2 questions of the big topic are very basic to ensure that they are all right, and the big questions behind should have the concept of step-by-step scoring, don't look at the type of question that you have not seen it and feel that it is difficult to have no confidence, the first few steps can still be scored, The next few steps are written to where it counts, and this is a score. In general, we should pay attention to the foundation, ensure that the basic score is not lost, the time should be allocated well, if the level of multiple-choice questions is good in 30 minutes, generally, about 40, fill-in-the-blank questions should have 30 minutes to do, and then there is about an hour, the first 2 big questions are 15 minutes, and the rest of the time try to do the rest of the questions! >>>More

24 answers2024-04-01

Born in 1983, the junior four.

Gemini's favorite modern writer: Su Tong. >>>More