211k views
5 votes
If f(1) = 7 and f (n) = 3f (n-1) what is the value of f(6)

User Ewa
by
6.8k points

2 Answers

5 votes

Answer:

The answer is 1701

Explanation:

f(1) = 7

Substitute f(1) = 7

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

= 3f(1)

=3(7)

f(2) = 21

Substitute f(2) = 21

f(3) = 3f(3-1)

= 3f(2)

= 3(21)

f(3) = 63

Substitute f(3) = 63

f(4) = 3f(4-1)

= 3f(3)

= 3(63)

f(4) = 189

f(5) = 567

Substitute f(5) = 567

f(6) = 3f(6-1)

= 3f(5)

= 3(567)

f(6) = 1701

Geometric sequence:

7,21,63,189,567,1701

User Hugohabel
by
6.9k points
2 votes
answer is 42 because

f times 1 = f

so then

f = 7

next is

6 times 7 = 42
User Josh Sharkey
by
6.3k points