Question

The following function represents an arithmetic sequence.

f(1)=2

f(n+1)=f(n)+4

What is f(10)?

Enter your answer as a number, like this: 42

Answer 1

Answer: Just took it!!!

f(10)=38

Explanation:

f(1)=2

f(n+1)=f(n)+4

f(2)=6

f(3)=10

f(4)=14

f(5)=18

f(6)=22

f(7)=26

f(8)=30

f(9)=34

f(10)=38

Answer 2

f(10)=34

Explanation:

This is an arithmetic sequence of common difference "d = 4" (the number added to a term in order to get the next term), and first term 2,

Then we use the formula to find the nth term of an arithmetic sequence with is:

`f(n)=f(1) +\,(n-1)\,d`

In our case this formula for the term number 10 becomes:

`f(n)=f(1) +\,(n-1)\,d\\f(10)=f(1)+(10-1)\,4\\f(10=2+9*4\\f(10)=2+32\\f(10)=34`