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In Mathematics / College | 2025-08-20

A sequence of numbers follows this rule: Multiply the previous number by -2 and add 3. The fourth term in the sequence is -7.

a. Give the next 3 terms in the sequence.
[tex]x(-2)+3=-7[/tex]
b. Give the 3 terms that came before -7 in the sequence.

Asked by alexaowens04

Answer (2)

Answer: PQ=5, QR=radical 61= 7.81, angle: 50degrees, Why:PQ=|-3|+2=5PR=6 angle Alfa, so there is right angle triangle PQR so I can use following formula: PQ^2 + RP^2=QR^2;25 + 36=QR^2;QR=radical 61 also I can use: sinus (angle)=PR/QR; sin(angle)=6/radical61=0.76822 which gives angle to be little bit more than 50 degrees{sinus 50 degrees= 0,7660 }.

Answered by FileT | 2024-06-10

The side lengths of triangle PQR are approximately PQ = 5, QR ≈ 8.60, and PR = 7. The angles are approximately angle P = 90°, angle Q = 50°, and angle R = 40°. This uses the distance formula and Law of Cosines for calculations.
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Answered by FileT | 2024-12-23