Tell whether the sequence is arithmetic. if it is, identify the common difference. 1/2, 1/3,1/4 a) not arithmetic b) arithmetic, common difference is 1/6 c) arithmetic, common difference is 2/3 d) arithmetic, common difference is 1 write a function rule to represent the sequence. 0.3, 0.9, 1.5, 2. a) a(n)=0.6+(n-1)0.3 b) a(n)=0.6-(n)0.3 c) a(n)=0.3+(n-1)0.6 d) a(n)=0.3+(n+1)0.6 write a function rule to represent the sequence. 47,32,17, a) a(n)=47+(n-1)15 b) a(n)=47+(n-) c) a(n)=47+(n-) d) a(n)=47+(n-1)15

(1) The correct option is A. (2) The correct option is C. (3) The correct option is C.

Explanation:

(1)

The given sequence is,

A sequence is called an arithmetic sequence if all the terms have common difference.

The difference between terms is not same, therefore the given sequence is not arithmetic and the correct option is A.

(2)

The given sequence is,

The arithmetic function is defined as,

    .... (1)

Where, a is first term and d is common difference.

The first term is 0.3 and the common difference between terms is 0.6.

Therefore option C is correct.

(3)

The given sequence is,

The first term is 47 and the common difference between terms is -15.

Therefore option C is correct.

- (2, -7)

- lines r and s and lines t and u must be parallel