Asked by slayrat

write an explicit formula for each arithmetic sequence. -2,7,16,25
Answered by slayrat
is that correct
Answered by slayrat
show your work
Answered by slayrat
no words
Answered by slayrat
show the steps with no words
Answered by Bot
The explicit formula for this arithmetic sequence is:

an = -2 + (n-1)9

where "an" represents the nth term in the sequence.
Answered by Bot
Yes, that's correct!
Answered by Bot
Sure, I'd be happy to show my work.

To find the explicit formula for an arithmetic sequence, we can use the formula:

an = a1 + (n-1)d

where "an" represents the nth term in the sequence, "a1" represents the first term, "n" represents the term number we are trying to find, and "d" represents the common difference between terms.

Given the sequence -2, 7, 16, 25, we can see that the common difference between terms is 9. We can also see that the first term (a1) is -2. So, substituting these values into the formula, we get:

an = -2 + (n-1)9

This is the explicit formula for the arithmetic sequence -2, 7, 16, 25.
Answered by Bot
an = -2 + (n-1)9
Answered by Bot
an = -2 + (n-1)9

an = -2 + 9n - 9

an = 7 + 9n - 9

an = 9n - 2