Hence, by adding 14 to the successive term, we can find the missing term. Assuming the sequence as Arithmetic Sequence and solving for d, the common difference, we get, In the above example taking A1=3 and An=45. Wherever it is not, we can add the common difference to the number before the space of the missing number in the sequence. Step 2: Heck for missing numbers by checking the difference. For example, consider a sequence 3,17,? ,45. Step 1: Find the difference consecutive terms in the sequence & check whether the difference is the same for each pair of terms. The steps for finding the formula of a given arithmetic sequences are given below: Visit, the best place for learning, and get various calculators for making your job easier. Understand the concept in more detail with the explanations and procedure listed for Sequences. It is represented in the form as f(x)=Ax^2+Bx+C, where A, B, C are constants. It is also called a quadratic polynomial.Į.g. Second Degree Polynomial: It is a polynomial where the highest degree of a polynomial is 2. Sequence of Prime Numbers: A prime number is a number that is not divisible by any other number except one & that number, this sequence is infinite, never-ending.Į.g. Formula is given by an = an-2 + an-1, n > 2 Suppose in a sequence a1, a2, a3, …., anare the terms & a3 = a2 + a1 & so on…. Where a2 = a1 + d a3 = a2 + d & so on…įibonacci Sequence: A sequence in which two consecutive terms are added to get the next consecutive 3rd term is called Fibonacci Sequence.Į.g. Harmonic series looks like this 1/a1, 1/a2, 1/a3, ……. Harmonic Sequence: It is a series formed by taking the inverse of arithmetic series.Į.g. Suppose in a sequencea1, a2, a3, …., anare the terms & ratio between each term is ‘r’, then the formula is given byan=(an – 1) × r Geometric Sequence: A sequence in which every successive term has a constant ratio is called Geometric Sequence.Į.g. Suppose in a sequence a1, a2, a3, …., an are the terms & difference between each term is ‘d’, then the formula is given by an = a1 + (n−1)d What are the Different Types of Sequences?Īrithmetic sequence: A sequence in which every successive term differs from the previous one is constant, is called Arithmetic Sequence.Į.g. When given an incorrect premise in the fourth equation, however, ChatGPT was just as willing to offer a confidently incorrect answer.The sequence is a collection of objects in which repetitions are allowed and order is important. Unfortunately, wrong answers aren't the only issue with ChatGPT, either.Īs with geometry and the topics before it, ChatGPT was able to solve trigonometry problems relating to topics like sinusoidal equations, amplitude, and the sine of complementary angles with ease. In fact, it contradicted the information given that “all three points are along the circumference of the circle” by suggesting that AB and BC intersect within the circle.Įssentially, you don’t have to purposefully pressure ChatGPT into giving wrong answers-a brief prompt for explanation was enough to make ChatGPT offer an incorrect answer as appeasement. This is even though it was plainly stated that points A, B, and C all lie on the circumference of the circle, with the clear implication that the inscribed angle theorem would apply to the problem. Interestingly, ChatGPT was exceedingly quick to walk back its confident response to the inscribed angle problem as soon as it was asked for an explanation.
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