To establish the polynomial we note that the formula will have the following form. an = p × n2 + q × n + r. The task now is to find the values of p, q and r. By substituting n and an for some elements in the sequence we get a system of equations. 1 = p × 1 2 + q × 1 + r ⇒ 1 = p + q + r. 4 = p × 2 2 + q × 2 + r ⇒ 4 = 4 p + 2 q + r. • The quotient of the division becomes the whole part of the mixed number. • The remainder of the division over the original denominator becomes the fractional part of the mixed number. Step 2: Click the blue arrow to submit. Choose "Convert to a Mixed Number" from the topic selector and click to see the result in our Basic Math Calculator The next number in the series 2, 5, 11, 20, 32, 47, is: 25 56 65 66 74 2. The next number in the series 38, 36, 30, 28, 22, is: 12 14 16 18 20 3. You want to get an oil change every 4,000 miles. How many oil changes do you get in a year driving 1000 miles a. Aug 19, 2022 · Program to print the series 2, 15, 41, 80, 132, 197… till N terms. Program to print the series 1, 3, 4, 8, 15, 27, 50… till N terms. Sum of P terms of an AP if Mth and Nth terms are given. Number of quadruples where the first three terms are in AP and last three terms are in GP. Print the first N terms of the series 6, 28, 66, 120, 190, 276 Jun 30, 2018 · A sequence: 2, 9, 28, 65, 126, 217. To find: The 7th term of the sequence. Solution: We can find the solution by following the given steps-We know that the sequence is based on a certain pattern that has been followed throughout. The terms are formed as the cube of the first six natural numbers+1. 6. Consider the following two sequences and find . (a) a quadratic polynomial that produces one of the sequences as p(k) - a^ fork-1,,4. (b) infinitely many polvnomials that produce the other sequence as p(k)a for k-1.4* Sequence 1: 2,9, 28, 65 Sequence 2: 9, 18, 37, 66- 7. Third digit is 6, add 1 to 7, we get 10,28. Rounding to the Nearest Thousandth. The thousandth number is the third digit after decimal point. If the fourth digit is greater than or equal to 5 add 1 to calculate rounding to nearest thousandth. Example: 10,2762 Forth digit is 2, no need to add 1, we get 10,276. Rounding to the Nearest Ones Whole The next perfect number is 28, Notice that all of these numbers are even multiples of 3 2 more than a square number. Find the next number. 7, 11, 15, 19, Feb 14, 2021 · → 1³ + 1 = 1 + 1 = 2 . → 2³ + 1 = 8 + 1 = 9 . → 3³ + 1 = 27 + 1 = 28 . → 4³ + 1 = 64 + 1 = 65. therefore, next term will be, → 5³ + 1 = 125 + 1 = 126 (Ans.) Hence, Next term will be 126. Learn more:- 423:24::534:60::752:70::245:? brainly.in/question/23686232. Use inductive reasoning to determine the next two terms in the sequence: Jun 24, 2021 · Find an answer to your question 2,9,28..what is the next number Next Number of 2, 9, 28, 65, 126. Advertisement Advertisement 7873756510 7873756510 Answer: TBjrnJK.