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Anastaziya [24]
2 years ago
13

F(5)= 12 for geometric sequence that is defined recursively by the formula f(n) = 0.3* f(n-1), where n is an integer and n is gr

eater than 0. Find f(7). Round your answer by the nearest hundredth
Mathematics
1 answer:
svet-max [94.6K]2 years ago
7 0

The value of f(7) is 1.08

<em><u>Solution:</u></em>

Given that,

f(5) = 12

<em><u>The sequence is defined recursively by formula:</u></em>

f(n) = 0.3 \times f(n-1)

where n is an integer and n is greater than 0

<em><u>Substitute n = 6 in given formula,</u></em>

f(6) = 0.3 \times f(6-1)\\\\f(6) = 0.3 \times f(5)\\\\Substitute\ f(5) = 12\\\\f(6) = 0.3 \times 12\\\\f(6) = 3.6

<em><u>Find f(7)</u></em>

<em><u>Substitute f = 7 in given formula</u></em>

f(7) = 0.3 \times f(7-1)\\\\f(7) = 0.3 \times f(6)\\\\f(7) = 0.3 \times 3.6\\\\f(7) = 1.08

Thus the value of f(7) is 1.08

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It is very important to go through all the details that have been provided in the question. These information's will come in very handy while getting to the solution for the answer. Now let us concentrate on the problem in hand.
Distance between Bristol and Rome that the plane covers = 1200 miles
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