Question

The nth term of the series 5,1,-3------- is.​

Answer 1

Answer:

3–5 =-2

-1-(1) = -1–1=-2

-5-(-3)= -5+3 =-2

The difference between two consecutive terms is -2.

Hence it is an Arithmetic progression.

First term = 5

Common difference d = -2

nth term tn

tn = a+(n-1)d

= 5+(n-1)-2

= 5–2n+2

=7–2n

Ans : 7–2n

Answer 2

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• Here a = 5 , d = 1-5 = -4
• a(n) = a + (n-1) d
• = 5+(n-1)-4
• = 5-4n+4
• = 9-4n