Question

Check whether-321is a term of the A.p 22,15,8,1......?

Answer 1

Answer:

Yes.. -321 is a term of the AP.

We get this by taking it as An,

An= a+(n-1)d

-321=22+(n-1)(-7)

On solving this..we get n=50.

So -321 is the 50th term of this AP.

Hope it helps.

Answer 2

Answer:

'- 321'  is a term of the given AP series 22,15,8,1,....

Step-by-step explanation:

22,15,8,1,.... are in AP

a,b,c,d,e,f,....

a,(a+d),(a+2d),(a+3d),...,(a+nd)

=> Common difference = d = b-a=15-22= -7

=> First term = a = 22

Here we need to check whethe - 321 is a term of AP of given series or not.

Let us assume it's mth term to find.

=> a+(m-1)d= - 321

=> 22+(m-1)-7= - 321

=> 22- 7 m + 7 = -321

=> 29 + 321 = 7 m

=> 350 = 7 m

=> m = 350 / 7

=> m = 50

So the 50th of the given AP series is '- 321.'