Exercise 4.x3 make a reasonable conjecture about the nth term in the sequence. 5 9 15 23 33

Conjecture: next term is 45

Step-by-step explanation:

One very common sequence is one where the difference between one term and the previous one follows a recognizable pattern. Let's inspect the difference from one term to the previous one in the sequence:

Difference from 9 to 5:      9 - 5 = 4

Difference from 15 to 9:    15 - 9 = 6

Difference from 23 to 15: 23 -15 = 8

Difference from 33 to 23: 33-23= 10

At this point the pattern is clear, the differences are just even numbers increasing 2 by 2. We would expect next difference to be 12, and so the next term on the sequence should be 33 + 12 = 45.

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )

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