Look at the ascending sequence:
Which element contains the first positive number?
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Look at the ascending sequence:
Which element contains the first positive number?
To solve this problem, we'll follow these steps:
Let's proceed with the solution:
Step 1: The common difference can be calculated by subtracting the first term from the second term:
.
Step 2: Using this difference, we extend the sequence:
Third element:
Fourth element:
Fifth element:
Step 3: Check when the first positive number occurs:
The sequence becomes positive at the fifth element with the value .
Therefore, the solution to the problem is that the first positive number occurs at the Fifth element.
Fifth element
12 ☐ 10 ☐ 8 7 6 5 4 3 2 1
Which numbers are missing from the sequence so that the sequence has a term-to-term rule?
Subtract the first term from the second term: . The common difference is always the same between any two consecutive terms!
Remember: negative numbers are still negative even when they're close to zero! -1 is still negative. Only numbers greater than zero are positive.
Not necessarily! You can use the formula where a₁ = -10 and d = 3 to find any term directly.
Keep adding the common difference until you get your first positive number. In this case: -10, -7, -4, -1, 2 - stop at 2 since it's positive!
If d is negative, the sequence decreases and may never become positive. Always check the sign of your common difference first!
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