Question

98 is a term of the arithmetic sequence having common difference 7.Is 2016 a term of the

sequence? Why?​

Answer 1

Answer:

yes it is

Step-by-step explanation:

let 98 be the first term of the arithmetic sequence (a)

and 7 be the difference (d)

nth term of an A.P is : a+(n-1)d

let nth term be 2016

so,

2016= a+(n-1)d

2016= 98+(n-1)7

2016-98=(n-1)7

1918 =(n-1)7

1918/7 = (n-1)

274 =n-1

274+1 = n

n = 275

since 2016 has a positive real number as n in the nth expression, 2016 is the term of the given arithmetic sequence