Question

Write a recursive formula for the following arithmetic sequence.
−2, −6, −10, −14, ...

=a1
=anfor≥n2

Answer 1

Answer:

Answer: A(n) = 2 - 4n

Step-by-step explanation:

General formular of an A.P:

$a_{n} = a_{1} + (n - 1)d$

a_n » the nth term

a1 » first term, a1 is -2

n » number of terms

d » common difference, d = -6 - (-2) = -6+2 = -4

$a_{n} = - 2 + \{(n - 1) \times - 4 \} \\ a_{n} = - 2 + ( - 4n + 4) \\ a_{n} = ( - 2 + 4) - 4n \\ a_{n} = 2 - 4n$