Question

check whether 101 is a term of the list of numbers 2,4,6,8,10​

Answer 1

Answer:

An=a+(n-1)d

Step-by-step explanation:

A=2 (first term)

d=t2-t1(term2-term1)

=4-2

=2.

let us assume 101 is a term of given Ap,

so,an=101

an=a+(n-1)d (formulae)

101 =2+(n-1)2 (substituting the values)

101-2=(n-1)2

100=(n-1)2

100/2=n-1

50=n-1

50+1=n

hence,n=51.

therefore,we can conclude that 101 is the 51th term of Ap i.e 101 is one of the term in given Ap.

Goodluck.