Question

Show that the
Progression
7, 2,-3,-8 is an AP
find general term
​

Answer 1

Step-by-step explanation:

let a1, a2, a3 and a4 be 7, 2, -3 and -8 respectively.

a2 - a1 = 2 - 7 = -5

a3 - a2 = -3 - 2 = -5

a4 - a3 = -8 + 3 = -5

Since the difference is common among the consecutive terms.

Therefore, the given series is in AP.

Answer 2

Answer:

2-7= -5

-3-2= -5

-8-( -3)= -8+3= -5

as the common difference is always -5

so it is an AP series

here the 1st term is 7

and common difference is -5

general term or the nth term is

7+(n-1).(-5)

=7-5n+5

=12-5n