Question

In the sequence 81,87,93,99,..... n. WHAT WOULD BE THE FORMULA FOR THE nTH TERM. PLEASE EXPLAIN

Answer 1

a = 81 d = 6

nth term

= 81 + (n -1)6

= 81 + 7n - 6

= 7n + 75

Answer 2

Answer:

75 + 6n is the formula for the nth term of 81,87,93,99,..... n.

Step-by-step explanation:

• The nth term of an arithmetic sequence is $a_{n}$ = $a_{1}$ + (n-1)d, where $a_{1}$

is the first term and d is the common difference.

• For the arithmetic sequence  81,87,93,99,..... n, the first term is $a_{1}$= 81

and the common difference is d = 6.

• Hence , the nth term $a_{n}$ is= 81 + (n-1)6 = 81 + 6n - 6 = 75 + 6n = 6n+75.