Nth term

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Quadratic Sequences Arithmetic/Line difference between consecutive numbers 18 Quadratic-2nd difference between consecutive numbers is 4, 25 constant e.g. Geomehie Fibonacci Square numbers. The product of an integer with itself e.g. 1, 4, 9, 16, 25, 36 Triangular numbers -series obtained by continued Summation of numbers. 1, 2, 3, 4, 5 for example e. g. 1, 3, 6, 10, 15, 21 -14 -14-21 -7 =-7n → This is the difference, Then you write the -7 times tuble above the values and find the difference. 2 22 each term after the first is found by multiplying the previous one by a fixed, non-zero number called a common ratio e.g. -2, 4, 8, 16,32 = x - 2 -number found by adding up the two numbers before it e.g. 1, 1, 2, 3, 5, 8, 13 Nth term of a linear sequence 6 12 18 24 =>6n 6 = The difference 6 Using the nth term nth term= that allows us to find the expression in n 20 e.g. 5th term 3n+7→3 (5)+7=22 value at a particular position in a sequence Nih Term of Quadratic sequence general nue: an ² + bn +c e.g. 3 (2) + b = -3 6+b = -3 b = -9 + 4 (second diff) is the in value. +4 +5 -3 (1st first diff)) +4 Ba+b+c +9 2-6 (first number in sequence) (2) + (-9) + = -6 C=-6 c = 1 f(n) = 2n²-9n+1 =>-7n+7 Noh Term of quadratic sequences by comparison 9,16,25... They are square numbers so.... T(1)=1²=1 T(2)=2²=4 T(3) = 3²= 9 e... 9 11, 26 1 → 2 4 → 11 The nth term is T(n) = n² = x 3-1 x...

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