Question

Consider the arithmetic sequence. -9, -2, 5, 12, . . . Given that the sequence is represented by the function f(n), what are the values of f(1) and the common difference? A. f(1) = -9 Common difference : 7 B. f(1) = -2 Common difference : 7 C. f(1) = -9 Common difference : -7 D. f(1) = -2 Common difference : -7

HELP ME...PLS

Answer 1

We can find the common difference by subtracting any two consecutive terms. For example, subtracting -9 from -2, we get:

-2 - (-9) = 7

So the common difference is 7.

To find f(1), we can plug in n = 1 into the arithmetic sequence formula:

f(n) = a + (n-1)d

where a is the first term and d is the common difference.

So,

f(1) = -9 + (1-1)7 = -9

Therefore, the correct answer is (A) f(1) = -9 and common difference: 7.