Given the sequence -14,-6,-2,0,1 find the recursive formula

BefittingTheorem asked Nov 17, 2023

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BefittingTheorem asked Nov 17, 2023

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16 votes

$u_(2) = u_(1) + 8 \\ u_(3) = u_(2) + 4 \\ u_(4) = u_(3) + 2 \\ u_(5) = u_(4) + 1 \\ u_(6) = u_(5) + 0.5 \\ ....$

$u_(2) = u_(1) + 2 {}^(3) \\ u_(3) = u_(2) + 2 {}^(2) \\ u_(4) = u_(3) + 2 {}^(1) \\ u_(5) = u_(4) + 2 {}^(0) \\ u_(6) = u_(5) + 2 {}^( - 1) \\ ....$

$u_(n + 1) = u_(n) + 2 {}^(4 - n)$

Keenia answered Nov 20, 2023

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