Question

Find the nth term or the general term of the sequence 9, 1, -7, -15, -23


a. 8n + 1
b. 1 - 8n
c. 17 - 8n
d. 8n - 17​

Answer 1

a + (n-1)d = 9 - 8(n-1) = 9 - 8n + 8 = ∣∣ ∣∣¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯aa17−8naa∣∣−−−−−−−−−−−

check 1st term (n=1) = 17 - 8(1) = 17-8 = 9

2nd term (n=2) = 17 - 8(2) = 17-16 = 1 etc.

Answer 2

-8n+17

Step-by-step explanation:

9,1,-7,-15,-23,...,n

a=9. d=1-9=8 or d=-7-1=-8

an=a+(n-1)d

=9+(n-1)(-8)

=9-8n+8

=17-8n

=-8n+17