Question

b(1) = 16
b(n) = b(n - 1)+1
Find the 2nd term in the
sequence.

Answer 1

Answer:

17

Step-by-step explanation:

b(n)=b(n-1)+1 means a term can be found by taking it's previous term and adding 1 to it.

So if b(1)=16, the next term b(2)=16+1=17.

If this was not obvious just replace n with 2 in your equation:

b(2)=b(2-1)+1

b(2)=b(1)+1

b(2)=16+1

b(2)=17

So the 2nd term is 17 where the first term is 16.

Answer 2

The second term of the sequence is expressed as 17

Given the following recursive functions expressed as:

b(1) = 16

b(n) = b(n - 1)+1

To get the second term, we will have to substitute n = 2 into the recursive function given as shown:

$b(n) = b(n - 1)+1\\b(2) = b(2 - 1)+1\\b(2)=b_1 +1\\b(2)=16 + 1\\b(2)=17$

Hence the second term of the sequence is expressed as 17

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