Question
Use the recursive formula below to find the first four terms of the sequence. Use the Formula Editor x−−√ to type math or use the Image icon to upload a photo of your work.
a1=10 and an=an−1+10
a1=10 and an=an−1+10
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GPT-4o mini
To find the first four terms of the sequence defined by the recursive formula:
- \( a_1 = 10 \)
- \( a_n = a_{n-1} + 10 \)
We will compute the terms step by step:
1. \( a_1 = 10 \) (given)
2. \( a_2 = a_1 + 10 = 10 + 10 = 20 \)
3. \( a_3 = a_2 + 10 = 20 + 10 = 30 \)
4. \( a_4 = a_3 + 10 = 30 + 10 = 40 \)
So the first four terms of the sequence are:
- \( a_1 = 10 \)
- \( a_2 = 20 \)
- \( a_3 = 30 \)
- \( a_4 = 40 \)
Thus, the sequence is \( 10, 20, 30, 40 \).
- \( a_1 = 10 \)
- \( a_n = a_{n-1} + 10 \)
We will compute the terms step by step:
1. \( a_1 = 10 \) (given)
2. \( a_2 = a_1 + 10 = 10 + 10 = 20 \)
3. \( a_3 = a_2 + 10 = 20 + 10 = 30 \)
4. \( a_4 = a_3 + 10 = 30 + 10 = 40 \)
So the first four terms of the sequence are:
- \( a_1 = 10 \)
- \( a_2 = 20 \)
- \( a_3 = 30 \)
- \( a_4 = 40 \)
Thus, the sequence is \( 10, 20, 30, 40 \).
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