Write a recursive formula for the arithmetic sequence {an}={2,7/2,5,13/2, ... }.

a) a1=2; an=an-1+3/2

b) a1=2; an=an-1+5/2

c) a1=2; an=5/2an+3/2

d) a1=2; an=3/2an+5/2

Question

Maeve Mckenzie

Mathematics

4 May, 01:14

Write a recursive formula for the arithmetic sequence {an}={2,7/2,5,13/2, ... }.

a) a1=2; an=an-1+3/2

b) a1=2; an=an-1+5/2

c) a1=2; an=5/2an+3/2

d) a1=2; an=3/2an+5/2

+3

Answers (1)

Know the Answer?

Lesly · Answer 1

a)

Step-by-step explanation:

in a arithmetic sequence you need to find the difference between the terms in order to get the formula, in this case from 2 you're adding 3/2 to get the next term, therefore the answer is a) an=an-1+3/2

Write a recursive formula for the arithmetic sequence {an}={2,7/2,5,13/2, ... }.a) a1=2; an=an-1+3/2b) a1=2; an=an-1+5/2c) a1=2; an=5/2an+3/2d) a1=2; an=3/2an+5/2

Write a recursive formula for the arithmetic sequence {an}={2,7/2,5,13/2, ... }.

a) a1=2; an=an-1+3/2

b) a1=2; an=an-1+5/2

c) a1=2; an=5/2an+3/2

d) a1=2; an=3/2an+5/2