$a_1=6\\a_n=-3a_{n-1}-12\qquad n\geq2\\\\\text{Substitute}\ n=2,\ n=3,\ n=4,\ n=5\ \text{to}\ a_n=-3a_{n-1}-12:\\\\\text{for}\ n=2\\\\a_2=-3a_{2-1}-12=-3a_1-12\\\\\text{substitute}\ a_1=6\\\\a_2=-3(6)-12=-18-12=-30\\\\\text{for}\ n=3\\\\a_3=-3a_{3-1}-12=-3a_2-12\\\\\text{substitute}\ a_2=-30\\\\a_3=-3(-30)-12=90-12=78$

$\text{for}\ n=4\\\\a_4=-3a_{4-1}-12=-3a_3-12\\\\\text{substitute}\ a_3=78\\\\a_4=-3(78)-12=-234-12=-246\\\\\text{for}\ n=5\\\\a_5=-3a_{5-1}-12=-3a_4-12\\\\\text{substitute}\ a_4=-246\\\\a_5=-3(-246)-12=702-12=690$

8 0

4 years ago

-36=-0.8k what does K equal?

masya89 [10]

K=45

Hope that helped you!

6 0

3 years ago

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While eating dinner marian are 25% of the apples slices she had in her bag she ate 5 apple slices in her bag how many apple slic

Studentka2010 [4]

$\text{Hello there!}\\\\\text{We know that 25\% = 5 apples}\\\\\text{We need to multiply by 4 to get to 100\%}\\\\\text{This means we also have to multiply 5 by 4 in order to get the original}\\\text{amount of apples}\\\\5\cdot4=20\\\\\boxed{\text{Marian originally had 20 apples}}$

5 0

3 years ago

Help again quick please!

zmey [24]

Answer:

2/3

Step-by-step explanation:

3 0

3 years ago

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