Explain
given the formula for an arithmetic sequence f(6) = f(5) + 3 written using a recursive formula, write the sequence using an arithmetic formula.

f(6) = f(1) + 3

f(6) = f(1) + 12

f(6) = f(1) + 15

f(6) = f(1) + 18

f(6)=f(1)+15

Step-by-step explanation:

Ok if f(6)-f(5)=3, then f(n)-f(n-1)=3 for any integer n greater than or equal to 2.

f(6)-f(1)

=(f(6)-f(5))+(f(5)-f(4))+(f(4)-f(3))+(f(3)-f(2))+(f(2)-f(1))

=(3)         + (3)         +(3)         +(3)         +(3)

=5(3)

=15

So the answer is the third one:

f(6)=f(1)+15

Arithmetic sequences are linear.

So no matter the points we choose, we should get the same slope.

Both slopes are 3 since we were given term-previous term is 3.

Multiply both sides by 5:

c

step-by-step explanation:

b.my answer is b.

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