A sequence is defined recursively using the equation f (n+1)=f (n)-8. If f (1)=100, what is f (6)?

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Steve M Share
Jul 9, 2017

Answer:

# f(6) = 60#

Explanation:

We have:

# f(1)=100 #
# f(n+1)=f(n)-8#

Put #n=1# and we get:

# f(2) = f(1) - 8#
# " "= 100 - 8#
# " "= 92#

Put #n=2# and we get:

# f(3) = f(2) - 8#
# " "= 92 - 8#
# " "= 84#

Put #n=3# and we get:

# f(4) = f(3) - 8#
# " "= 84 - 8#
# " "= 76#

Put #n=4# and we get:

# f(5) = f(4) - 8#
# " "= 76 - 8#
# " "= 68#

Put #n=5# and we get:

# f(6) = f(5) - 8#
# " "= 68 - 8#
# " "= 60#

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