Question

B) Here are the first four terms of another sequence.

6 11 16 21
Write an expression for the nth term of this sequence.

Answer 1

aₙ = 5n + 1

Explanation:

11 - 6 = 5 , 16 - 11 = 5 , 21 - 16 = 5

So, it's atithmetic formula with common difference os 5

`a_n = a_1+d(n-1)\\\\a_1=6\\d=5\\\\a_n=6+5(n-1)\\\\a_n=6 +5n-5\\\\a_n = 5n+1`