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Katena32 [7]
3 years ago
6

HELP ASAP PLEASEEEEEEEEEE

Mathematics
1 answer:
Andrew [12]3 years ago
4 0

Given the recursive formula, each terms is five time the previous one.

This means that:

  • f(6) is 5 times f(5), which means f(6)=5f(5)
  • in turn, f(5) is 5 times f(4), so we have f(5)=5f(4). This means that f(6)=5f(5)=5\cdot 5f(4) = 25f(4)
  • Finally, f(4)=5f(3) So, substituting this back gives

f(6)=25f(4)=25\cdot 5f(3)=125f(3)

In general, since you have f(n)=5f(n-1), each time you compute a new term you multiply by a factor of 5, so if m=n+k, you have

f(m)=5^kf(n)

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Plz help. Attachment below
Vinvika [58]

Answer:

The value of k is 1.

Step-by-step explanation:

You have to apply Indices Law :

{a}^{m}  \times  {a}^{n}  =  {a}^{m + n}

For this question :

{( \frac{4}{5} )}^{2}  \times  {( \frac{4}{5} )}^{5}  =  {( \frac{4}{5} )}^{6k + 1}

{( \frac{4}{5}) }^{2 + 5}  =  {( \frac{4}{5}) }^{6k + 1}

by \: comparison

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k = 6 \div 6

k = 1

7 0
4 years ago
Read 2 more answers
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