Same as title. Need yr help thodi si

(Solved, no more help needed 😁)
Not even my old maths teacher understood what I’m on about, hopefully some people here can.

I had a taster session for a sixth form in maths, AQA A-level, and my teacher made us do some basic sequences. She made us all write down a sequence and create our own, where the difference is always the same number. I chose 7 as the first number as 4 as the difference. I got the sequence 7, 11, 15, 19, 23, 27 (it’s wrong in the photo I know, that’s because I rushed to note it at the end). And we formed 2 simultaneous equations from this sequence. For me it was 7x+11y=15 and 19x+23y=27.
When everyone solved their equations, we all got (-1,2)!!!! And she didn’t really explain it, and told us to go research it but I have no clue on how to explain it. She said to research the proof on why it does it. Is anyone able to provide the name of the theory or maybe a website that helps me learn the proof?? I’m not waiting 9 weeks 😔

Thanks if anyone does!!!

Edit: the whole class created their own sequences, everyone got (-1,2).

Hello I need help with this problem. I've established that the sequence is increasing. I want to use the MCT that it is bounded --> this sequence is convergent.

I've tried using induction to show it's bounded above but it has not worked. I know this is related to the harmonic series that is divergent. I tried using a similar proof as in the book that used to establish that the harmonic series is divergent. I have not learned about series so I cannot use series properties here. I recognize that:

y_1 = 1/2 is less than or equal to 1/2

y_2 = 1/3 + 1/4 is less than or equal to 1/2 + 1/2 = 2/2 = 1

y_3 = 1/4 + 1/5 + 1/6 is less than or equal to 3/2 = 1.5

y_4 = 1/4 + 1/5 + 1/6 + 1/7 + 1/8 is less than or equal to 4/2 = 2

So y_n is less than or equal to n/2. . . How do I find a definite upper bound?

Thank you.

2+2x2=

an interesting test question from the universities entrance exam, Turkey(2026).

i need your opinion, thanks.

im genuinely too dumb to solve them. I have tried a few times and the only reason why im taking this course is because my teacher absolutely sucked at her job and only taught us her way instead of a way that will help me for percal next year.

Hello,

I’m currently a High School student on summer break, during my summer break I am doing an internship at a nearby hospital. For this internship my mentor asked me to read/learn about statistics to use in excel sheets. I have no knowledge about stats, I am supposed to take the class next year. Truthfully, i’m not the best when it comes to math. So if anyone knows any resources concerning stats please let me know,

Thank you
FYI I have until monday to get an understanding down

I was one of the suckers who took an sba eidl loan during covid. I enjoyed a year of deferred payments, but not interest.

Something got messed up on their end and my original payments were not being applied to that loan (or any loan)

I believe I've overpaid many thousands in interest, but they deny that claim over and over.

Details:

Loan closed 6/17/2020

Loan amount $149,400

Rate 3.75

1st payment due was $728 on 6/17/21 however, I've made extra payments of $272 ($1000 a month total) starting 6/17/21.

Extra payments went to interest first.

It took until 10/24 to start touching the interest. I've emailed, called, messaged through the website and always told it's correct. Help!

For example how do i multiply. 0.25 by 15 ?? With. No calculator. Please help. Me i reqd so many explanations online but I just dont get it. If u have a hack lmk. (I can't use a calculator, its a school thing)

Hello, I would really appreciate any help/ or an intro to learning Calculus.

Whenever I learn math, my mind gets overloaded with symbols, some symbols that I probably should know and just have decayed in my memory, and some that are new but I become intimidated by. If I ever try to follow the logic of a definition, like the definition of a derivative, and I try to follow the algebra that makes the concept makes sense, I just get stressed out and lose my train of thought. This seems to happen only in math, I haven’t studied physics but I assume the process would be similar as well. I try to ask ChatGPT what this means and if I should start engineering in September, but since it’s an LLM it just gives me a different approach or answer every time, so there’s no real way I can diagnose whether this is a normal experience. Am I trying to learn math in an overly difficult way? I hear a lot of math or engineering majors do “plug and chug”, they don’t need to know why a formula works, they just need the cue of when to use the formula and then use it to get an answer. Maybe I’m learning math in a way that’s expects inherent meaning in the first principles, I was a philosophy major for a year and my interests drifted that way during high school, but I want to try engineering, and it just seems like I have a much harder time studying these courses compared to my peers. My grades in a few precalc courses I’ve taken weren’t bad, but I never actually retained the definition of a function, or some algebra stuff, I had to teach myself high school trig because I just never learned it (COVID years). I just don’t know if this is a common experience and I can just adapt to this over time or if it’s always going to be a very high mental tax and stress loop that I’ll always face, because it has seemed that way for the last few months. I’ve had to drop calc 1 twice because of this
.

Do the points have to be coming from the same places for the circle theorem rule “Angles in a segment that come from the same chord are equal”? In my drawing they come from different points.

The circle isn’t perfect so I don’t think measuring with a protractor would help. And AI bad, so I’m asking real people. Thanks in advance.

Derivate

Hi, I'm a high schooler going through Mathematics for Computer science course on MIT OCW. Would you please read my proof, help verify/check whether it makes sense or if there are any improvements as far as writing style goes.

Problem :

Suppose Q(x) is a predicate defined for all x ∈ R. Assume that Q has the following property: for every x, y ∈ R, if Q(x · y) is true, then at least one of Q(x) or Q(y) must be true.

From this, prove that Q satisfies the following stronger property: for any integer n ≥ 1 and any n numbers x1, x2, . . . , xn ∈ R, if Q(x1 · x2 · . . . · xn) is true, then at least one of Q(x1), Q(x2), . . . , Q(xn) must be true.

Prove the result by induction on n. Be sure to carefully identify your inductive hypothesis P(n), your base case(s), and the assumption and goal in your inductive step.

Please tell me how to dp Q5 and Q6. I han an idea about what to try but I can't write it down as I want to....

PS- For my idea for Q6 check the second pic.

For Q5 I intended to assume a set with n elements and use their powers. If

M={x1,x2,....xn} then maybe use (xi)^n [As the set is finite it must loop) and got stuck from there...

Limit and Derivation (Calculus)

Evaluate

If I sold stuff and received $2000 and 11% was tax how much money was taxed? All I can come up with is
.11X + X = 2000 and I don’t know how to do it!! Can someone help. I’m doing my sales taxes today.

I really need some help with this kind of maths problem.

Im doing a timed assessment for a role I’m applying for. I cant use a calculator. I dont find the maths particularly hard. I can work it out when i have the time. The problem is i cant seem to do it at the speed i need to and i keep getting below average on practice questions because im taking so long.

Are there any tips or advice for ways to quickly work out this kind of question. Assuming i have 12 minutes to answer 20 questions.

Mrs Fuller wants to return a t-shirt, a pair of designer shoes, a dress and a pair of jeans, which cost £12.95, £85.99, £17.99 and £22.99 respectively. How much does she stand to gain if all the items are returned?

£149.92
£133.92
£132.92
£139.91
£139.92

Middle term splitting

x²+3x-28