Question

Which of the following sequences of numbers are arithmetic sequences?

Answer 1

Hello,

A:no
B:no
C,D,E :yes

All you have to do : is the difference of next term and the term must be constant.

Answer 2

Answer:

C), D) and E)

Step-by-step explanation:

First let's see what an arithmetic sequence is.

A arithmetic sequence is series of numbers where the difference between the successive terms must be a constant.

For example,

2, 4, 6, 8, 10.....

If you find the difference between the successive terms, it will be the same constant.

4 -2 = 2

6 -4 = 2

8 -6 = 2

This is called arithmetic sequence.

A and B are not the arithmetic sequence. The different is not the same constant.

C) 345, 346, 347, 348, 349....

Difference = 1 between the two successive terms.

So it is an arithmetic sequence.

D) 54, 71, 88, 105, 122...

Difference = 71 - 54 = 17

88 - 71 = 17

So it is an arithmetic sequence.

E) -3, -10, -17, -24, -31...

Difference = -10 -(-3) = -10 + 3 = -7

Difference of -10 and -17 is -17 -(-10) = -17 +10 = -7

So it is an arithmetic sequence.

Answer: C), D) and E)