Question

consider the sequence 5,9,13,17 a)2017 is a term of the sequence b)if the difference of any two terms in 2020​

Answer 1

Step-by-step explanation:

( (a) )

since,

5,9,13,17 are in AP

a=5 d=9-5=4

For checking 2017 is a term of an AP or not,,,

let 2017 is a term of an AP

so if it is an term of an AP then it should have a place in an AP

let n'th term of an AP is 2017

then

An = a+(n-1) d

2017=5+(n-1)4

2017-5=4n-4

2012+4=4n

2016=4n

2016/4=n

504=n

yes 2017 is a term of an AP....