What is the r value of the following geometric sequence? 4, 7, 12.25, 21.4375.

r ( common ratio) = 1.75

Step-by-step explanation:

Given : geometric sequence 4, 7, 12.25, 21.4375.

To find : What is the r value .

Solution : We have given

Geometric sequence 4, 7, 12.25, 21.4375.

r ( common ratio) = .

r ( common ratio) = = 1.75

r ( common ratio) = = 1.75

Therefore, r ( common ratio) = 1.75

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.