Answer:
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Answer: The sequence is geometric
Step-by-step explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference and this difference is linear.
Common difference = given term - the term before it
In geometric progression, the consecutive terms differ by a common ratio this difference is exponential.
Common ratio = given term/the term before it
Looking at the given sequence,
1) d = 6 - - 2 is not equal to - 18 - 6
Therefore, it is not an arithmetic sequence
2) r = 6/- 2 = - 18/6 = - 3
Therefore, it is a geometric sequence.
Answer:
122
Step-by-step explanation:
An arithmetic sequence means a number is added each term. There is a term for where a number is multiplied as well. But in this case the first number is -103, the second number is -94 and the third number is -85. Can you tell what number is added each time?
The number is 9. -103+9=-94 and -94+9=-85 and so on. Now we want a way to find the term way further down the line.
Think of it doing it all at once. -103+9+9 gets us the third term right? so that's 2*9. -103+3*9 would get us the fourth. Hopefully that makes sense, but let me know if it doesn't. But for a few more examples, if we want the fifth term we would do -103+4*9 and getting the tenth would need -103+9*9. So basically we take the number term we want (in this case we want the 26th) and then take -103+ n*9, where n is the term we want minus 1, or in this case 25. so that's -103+25*9
Let me know if you need more of an explanation.
Answer:
40
Step-by-step explanation:
