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.

Question

a1=10 and an=an−1+10

Answer 1

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 \( 10, 20, 30, 40 \).