Question

if 96 is a term of a sequence with common difference 6 does 2021 is a term of the sequence why ​

Answer 1

Answer:

2021 is not a term of given sequence

Step-by-step explanation:

nth term of an arithmetic sequence is given by

nth = a + (n – 1)d

given d= 6

96 = a + (95×6)

96=a+576

a=-480

second part,

if 2021 is a part of this sequence,

2021=a+(n-1)d

2021 = -480 + (n-1)6

2021+480=(n-1)6

2501=(n-1)6

n-1 = 2051/6

n-1 = 416.83

n=417.86

as above calculations, 2021 is 417.86th term of this sequence.

That is not possible. n must be a positive integer or counting number.