110k views
4 votes
What is the explicit rule for the sequence? 13,10.5,8,5.5,3,0.5

User Luz
by
8.4k points

1 Answer

0 votes

Answer: To find the explicit rule for the sequence 13, 10.5, 8, 5.5, 3, 0.5, we can look for a common difference between successive terms. Subtracting any term from the previous term, we get:

10.5 - 13 = -2.5

8 - 10.5 = -2.5

5.5 - 8 = -2.5

3 - 5.5 = -2.5

0.5 - 3 = -2.5

Since the common difference is -2.5, we can use the formula for the nth term of an arithmetic sequence:

an = a1 + (n-1)d

where a1 is the first term and d is the common difference. Substituting the values we have:

a1 = 13

d = -2.5

So the explicit rule for the sequence is:

an = 13 - 2.5(n-1)

Simplifying:

an = 15 - 2.5n

Explanation:

User Rijumone
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories