6,16,26,36,46

It is an arithmetic sequence or a geometric sequence or neither ?

To determine whether the given sequence 6, 16, 26, 36, 46 is an arithmetic sequence or a geometric sequence, we need to analyze the differences between the terms.

For an arithmetic sequence, the difference between consecutive terms remains constant. Let's calculate the differences between each pair of consecutive terms:

16 - 6 = 10
26 - 16 = 10
36 - 26 = 10
46 - 36 = 10

As we can see, the differences between each consecutive pair of terms are all equal to 10. Therefore, the given sequence is an arithmetic sequence with a common difference of 10.

In summary, the given sequence 6, 16, 26, 36, 46 is an arithmetic sequence.

To determine whether the given sequence is an arithmetic sequence, a geometric sequence, or neither, we need to look for a pattern in the differences or ratios between consecutive terms.

For an arithmetic sequence, the differences between consecutive terms should be constant. Let's calculate the differences between consecutive terms:

16 - 6 = 10
26 - 16 = 10
36 - 26 = 10
46 - 36 = 10

As we can see, the differences between consecutive terms in this sequence are all 10. Therefore, the sequence is an arithmetic sequence with a common difference of 10.

Now, let's check whether the sequence is a geometric sequence. In a geometric sequence, the ratios between consecutive terms should be constant.

To find the ratios, let's divide each term by its previous term:

16 / 6 = 2.67
26 / 16 ≈ 1.63
36 / 26 ≈ 1.38
46 / 36 ≈ 1.28

As we can see, the ratios between consecutive terms in this sequence are not constant. Therefore, the sequence is not a geometric sequence.

In conclusion, the given sequence 6, 16, 26, 36, 46 is an arithmetic sequence but not a geometric sequence.

differences: 10,10,10,10

looks like an AP to me.