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alexdok [17]
3 years ago
11

Jeat is growing carrots

Mathematics
1 answer:
yulyashka [42]3 years ago
8 0

Please post full question

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Given the explicit expression f (n) = 5n - 2, write a set showing the sequence, and write a recursive expression.
denpristay [2]

Answer:

f(n) = 5 + f(n - 1)

Step-by-step explanation:

Given

f(n) = 5n - 2

Required

Write a recursive expression

f(n) = 5n - 2

When n = 1

f(1) = 5 * 1 - 2 = 5 - 2 = 3

f(1) = 3

When n = 2

f(2) = 5 * 2 - 2 = 10 - 2 = 8

f(2) = 8 can be rewritten as

f(2) = 5 + 3

Substitute 3 for f(1)

f(2) = 5 + f(1)

Express 1 as 2 - 1

f(2) = 5 + f(2-1) ----- (1)

When n = 3

f(3) = 5 * 3 - 2 = 15 - 2 = 13

f(3) = 13 can be rewritten as

f(3) = 5 + 8

Substitute 8 for f(2)

f(3) = 5 + f(2)

Express 2 as 3 - 1

f(3) = 5 + f(3 - 1)  ------ (2)

Write out (1) and (2)

f(2) = 5 + f(2-1)

f(3) = 5 + f(3 - 1)

Replace 2 and 3 with n in both cases; This gives

f(n) = 5 + f(n - 1)

Hence;

The recursive is f(n) = 5 + f(n - 1)

7 0
3 years ago
How do i write 304,967,000 in word form
kakasveta [241]
Three hundred four million nine hundred sixty seven thousand
5 0
3 years ago
Read 2 more answers
What is 27 over 90 reduced to
AnnZ [28]
27 and 90 can both be divided by 9

27 divided by 9 = 3

90 divided by 3= 10

so your answer is 3 over 10
3 0
3 years ago
WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing
Andrews [41]

Answer:

C

Step-by-step explanation:

Given

3(x+9)^{\frac{3}{4} } = 24 ( divide both sides by 3 )

(x+9)^{\frac{3}{4} } = 8

Raise both sides to the power of \frac{4}{3}

x + 9 = 8^{\frac{4}{3} } = (\sqrt[3]{8}) ^{4} = 2^{4} = 16 ( subtract 9 from both sides )

x = 7 → C

5 0
3 years ago
Given f (x) = 1/3 (x +6) what is f (-6)?<br><br>help me pretty please!!​
Blizzard [7]

Answer:

  0

Step-by-step explanation:

Put -6 where x is and do the arithmetic.

  f(-6) = 1/3 (-6 +6) = 1/3 (0)

  f(-6) = 0

3 0
3 years ago
Read 2 more answers
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