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STatiana [176]
2 years ago
7

Given The recourse recursive formula, find the first four terms:

Mathematics
2 answers:
Wewaii [24]2 years ago
5 0

Answer:

c

Step-by-step explanation:

we are given that

\displaystyle  a_{n} =  - 3  \: \cdot  a_{n - 1} \\  a_{1} = 45

we are already given our first term i.e 45

for second term

\displaystyle  a_{2} =  - 3  \: \cdot  a_{2- 1}

simplify substraction:

\displaystyle  a_{2} =  - 3  \: \cdot  a_{1}

since we have a_1=45

substitute:

\displaystyle  a_{2} =  - 3  \: \cdot  45

simplify multiplication:

\displaystyle  a_{2} =  - 135

for third term

\displaystyle  a_{3} =  - 3  \: \cdot  a_{3- 1}

simplify Substraction:

\displaystyle  a_{3} =  - 3  \: \cdot  a_{2}

as a_2=-135

substitute:

\displaystyle  a_{3} =  - 3  \: \cdot   - 135

simplify multiplication:

\displaystyle  a_{3} =   405

for forth term

\displaystyle  a_{2} =  - 3  \: \cdot  a_{4- 1}

simplify Substraction:

\displaystyle  a_{2} =  - 3  \: \cdot  a_{3}

substitute:

\displaystyle  a_{2} =  - 3  \: \cdot  405

simplify multiplication:

\displaystyle  a_{2} =   - 1215

hence,

the first four terms are <u>4</u><u>5</u><u>,</u><u>-</u><u>1</u><u>3</u><u>5</u><u>,</u><u>4</u><u>0</u><u>5</u><u>,</u><u>-</u><u>1</u><u>2</u><u>1</u><u>5</u>

aleksklad [387]2 years ago
4 0

Step-by-step explanation:

hence,

the first four terms are 45,-135,405,-1215

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