Question

$7,5,3,1,-1$
(a) Find the next term in this sequence
(b) Find the nth term of the sequence

Answer 1

$7,5,3,1,-1$

the following series is in AP with common difference $d=-2$ and $a=7$

(a) next term of series=previous term $+d$

$=-1+\left(2\right)$

neat term $=-3$

(b) $n^{th}$ term of the series $=a+(n-1)d$

$=7+(n-1)-2$

$=7-2n+2$

$n^{th}$ term of series $=9-2n$