Last year, 210 middle school students attended the conference. This year, 195
middle school students attended the
same conference. Calculate the percent
change

8%

Step-by-step explanation:

let,

this year population of students (pt)= 195

last year population of students (p)= 210

time(t)= 1 year

Population Change( R)= ?

we have,

pt= p( 1 - R/100)^t

195 = 210 ( 1 - R/100)^1

0.92= 1 - R/100

0.92-1= R/100

- 0.08 = - R/100

R= 0.08×100

R= 8%

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.

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