Question

Consider the arithmetic sequence below.

-9, -2, 5, 12, . . .

Given that the sequence is represented by the function f(n), determine the value of f(1) and find the common difference.

f(1) = -2
Common difference : 7

f(1) = -2
Common difference : -7

f(1) = -9
Common difference : -7

f(1) = -9
Common difference : 7

Answer 1

The given sequence is:

-9, -2, 5, 12, . . .

So, the first term of the sequence is -9. i.e. f(1) = -9

Common difference of an arithmetic sequence is the difference of any two consecutives terms.

So common difference = -2 - (-9) = -2 + 9 = 7

Therefore, Fourth option is the correct answer.

Answer 2

f(1) is the first term of the arithmetic sequence, then f(1)=-9

Common difference: 7
-2-(-9)=-2+9=7
5-(-2)=5+2=7
12-5=7

Answer: Fourth option
f(1)=-9
Common difference: 7