High School

Look at the given pattern below: 22, 31, 40, 49, 58...

What is \( f(n+1) \) in terms of \( f(n) \), where \( n \) represents the number of terms in the pattern?

A. \( f(n-9) \)

B. \( f(n+9) \)

C. \( f(n)-9 \)

D. \( f(n)+9 \)

Answer :

Answer:

D

Step-by-step explanation:

there is a common difference (d) between consecutive terms , that is

31 - 22 = 40 - 31 = 49 - 40 = 58 - 49 = 9

To obtain the next term in the sequence f(n + 1) from the preceding term f(n), then add the common difference of 9 to f(n)

f(n + 1) = f(n) + 9

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