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2 years ago

A sequence is defined by the recursive function f(n+1)=f(n)-2 If f(1)=10 what is f(3)?

Mathematics

2 answers:

Novosadov [1.4K]2 years ago

4 0

Given :- 

A sequence is defined by f(n + 1) = f(n) -2 .
f(1) = 10

To Find :- 

The value of f(3) .

Solution :- 

As per Question ,

→ f(n + 1) = f(n) - 2

→ f(n + 1 ) - f(n ) = -2

Therefore , the second term of the sequence is ,

→ f(2) - f(1) = -2

→ f(2) - 10 = -2

→ f(2) = 10 -2

→ f(2) = 8

Similarly,

→ f(3) - f(2) = -2

→ f(3) = 8 -2

→ f(3) = 6

<h3>Hence the value of f(3) is 6 .</h3>

DENIUS [597]2 years ago

3 0

Answer:

f(3) = 6

Step-by-step explanation:

Using the recursive rule and f(1) = 10 , then

f(2) = f(1) - 2 = 10 - 2 = 8

f(3) = f(2) - 2 = 8 - 2 = 6

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