Which is an arithmetic sequence?

1, 4, 9, 16

3, 10, 17, 24

-5, 6, 10, 13

1, 2, 4, 8

the arithmetic sequence is

3, 10, 17, 24

Step-by-step explanation:

In an arithmetic sequence, the consecutive terms differ by a common difference. This means that the difference between the first term and the second term must equal the difference between the second term and the third term.

Considering the following sequences,

1) 4 - 1 = 3

9 - 4 = 5

There is no common difference and so, it is not an arithmetic sequence.

2) 10 - 3 = 7

17 - 10 = 7

The common difference is 7. So it is an arithmetic sequence.

3) 6 - - 5 = 11

10 - 6 = 4

There is no common difference and so, it is not an arithmetic sequence.

4) 2 - 1 = 1

4 - 2 = 2

There is no common difference and so, it is not an arithmetic sequence.

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: