Ford Norton
03/06/2024 · Junior High School
Given the quadratic number pattern: \( 94 ; 90 ; 82 ; 70 ; \ldots \) 4.1.1 Determine the next two terms of the number pattern. 4.1.2 Determine \( T_{n} \), the general term of the number pattern. 4.1.3 Calculate two consecutive terms whose first difference is -136 . A quadratic number pattern has a general term \( T_{n}=a n^{2}+b n-15 \). \( T_{2}-T_{1}=3 \) and \( T_{3}-T_{2}=7 \). Determine the values of \( a \) and \( b \).
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- 4.1.1 The next two terms are 54 and 34.
- 4.1.2 The general term is \( T_n = -2n^2 + 2n + 94 \).
- 4.1.3 The two consecutive terms with a first difference of -136 are -2150 and -2286.
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