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  2. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    The convergents of the continued fraction for φ are ratios of successive Fibonacci numbers: φ n = F n+1 / F n is the n-th convergent, and the (n + 1)-st convergent can be found from the recurrence relation φ n+1 = 1 + 1 / φ n. [32] The matrix formed from successive convergents of any continued fraction has a determinant of +1 or −1.

  3. 1 + 2 + 3 + 4 + ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E...

    The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc.The nth partial sum is given by a simple formula: = = (+). This equation was known ...

  4. Addition - Wikipedia

    en.wikipedia.org/wiki/Addition

    2 + (1 + 3) = (2 + 1) + 3 with segmented rods. Addition is associative, which means that when three or more numbers are added together, the order of operations does not change the result. As an example, should the expression a + b + c be defined to mean (a + b) + c or a + (b + c)? Given that addition is associative, the choice of definition is ...

  5. Our 18 Most Popular Snack Recipes With Just 3 Steps - AOL

    www.aol.com/18-most-popular-snack-recipes...

    These easy and delicious snack recipes take no more than three steps to make and have earned four and five-star ... opt for 1/4 cup rinsed canned chickpeas instead. View Recipe. ... Plus, it’s a ...

  6. 20 5-Star Snacks with 3 Ingredients or Less - AOL

    www.aol.com/20-5-star-snacks-3-195143785.html

    20 5-Star Snacks with 3 Ingredients or Less. Camryn Alexa Wimberly. August 18, 2024 at 3:51 PM. Photographer: Brie Goldman, Food Stylist: Lauren McAnelly, Prop Stylist: Gabriel Greco.

  7. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.

  8. List of integer sequences - Wikipedia

    en.wikipedia.org/wiki/List_of_integer_sequences

    Name First elements Short description OEIS Mersenne prime exponents : 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, ... Primes p such that 2 p − 1 is prime.: A000043 ...

  9. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    ± (plus–minus sign) 1. Denotes either a plus sign or a minus sign. 2. Denotes the range of values that a measured quantity may have; for example, 10 ± 2 denotes an unknown value that lies between 8 and 12. ∓ (minus-plus sign) Used paired with ±, denotes the opposite sign; that is, + if ± is –, and – if ± is +.