Answer: -185 (choice D)
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Explanation:
- x = first integer
- x+1 = second integer
Note how x+1 follows immediately after x. That's what "consecutive" means by definition. An example of consecutive integers would be 7,8,9,10.
Adding those two said integers will lead to -371
first+second = -371
x+(x+1) = -371
2x+1 = -371
2x = -371-1
2x = -372
x = -372/2
x = -186
x+1 = -186+1 = -185
Note how -186+(-185) = -371 to confirm the answer.
The two consecutive integers that add to -371 are -186, -185. The larger of the two is -185 since it's more to the right on the number line.
Answer:
see explanation
Step-by-step explanation:
The geometric mean of 2 numbers a and b is 
The third term is the geometric mean of the first and fifth terms, that is
a₃ =
= 31.5
The second term is the geometric mean of the first and third terms, that is
a₂ =
= 10.5
The fourth term is the geometric mean of the third and fifth terms, that is
a₄ =
= 94.5
Thus the sequence is
3.5, 10.5, 31.5, 94.5, 283.5