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stellarik [79]
3 years ago
9

If f(1) = 6 and f(n) = f(n − 1) +3, then f(7) = (1) 10 (2) 24 (3) 15 (4) 18

Mathematics
1 answer:
Juliette [100K]3 years ago
3 0

Answer:

24

Step-by-step explanation:

f(n) = f(n − 1) + 3

if n = 7 => f(7) = f(7-1) + 3 = f(6) + 3

if n = 6 => f(6) = f(6-1) + 3 = f(5) + 3

if n = 5 => f(5) = f(5-1) + 3 = f(4) + 3

if n = 4 => f(4) = f(4-1) + 3 = f(3) + 3

if n = 3 => f(3) = f(3-1) + 3 = f(2) + 3

if n = 2 => f(2) = f(2-1) + 3 = f(1) + 3

if f(1) = 6 then f(2) = 9

f(3) = 12

f(4) = 15

f(5) = 18

f(6) = 21

f(7) = 24

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Answer:

The dividend is 360, divisor is 6 and quotient is 60.

Step-by-step explanation:

Factors of 3= 3*1

Factors of 18= 3*2*3

Factors of 60= 3*2*2*5

Taking LCM= 3*2*2*2*3*5= 360

60 is a factor of 360

The dividend is 360

If 360 is divided by 6 we get 60 which is a multiple of 3

and 6 is a factor of 18.

Therefore the dividend is 360 divisor is 6 and quotient is 60.

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How many times does 9 go int 67
AnnZ [28]


°° Awesome question!

I'll show you how to solve this kind of question:

First, you can multiply 9 times any number to see if it's smaller than 67. If it is, it is OK to keep multiplying 9 by more numbers. Let's try this!

9 × 1 obviously equals 9, so we can keep going up.

9 × 2 = 18. Not quite there yet!

Sometimes it is OK for you to skip some numbers, Watch:

9 × 5 = 45. We can keep going. At this point you don't need to go backwards and do 9 × 3 or 9 × 4, because the products will only get farther away from 67.

9 × 6 = 54. We're getting closer!

Let's try to skip one number:

9 × 8 = 72 - HOLD UP! Oh no! We went over a little too much!

Let's try a number in between 6 and 8 - That would be 7, right?

9 × 7 = 63 - We were right on point! Obviously you can't multiply 9 by 8 again because you would get a bigger number - the 72.

__________________________________________________________

That was just one way to go about it, but there's another way, too!

You can divide 9 by 67 and see what you get. You may have a remainder, but you can just throw that out the window when we're all done:

9 ÷ 67 = 7.4444444444444444 The 4 just repeats on and on again, and we don't want that. So just throw those 4's out the window so you're left with 7.

Based on all this work, 9 goes into 67 7 times.

↑   ↑   ↑  Hope this helps! :D

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Step-by-step explanation:

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