Question

Find out which of the following sequences are arithmetic progressions. For those which are arithmetic progressions, find out the common difference.
(i)3,6,12,24,...
(ii)0,-4,-8,-12,...
(iii)1/2,1/4,1/6,1/8,...
(iv) 12,2,-8,-18,...
(v)3,3,3,3,...
(vi)p,p+90,p+180,p+270....where p=(999)999
(vii)1.0,1.7,2.4,3.1,...
(viii)-225,-425,-625,-825,...
(ix)10,10+26,10+27
(x)a+b,(a+1)+b,(a+1)+(b+1),(a+2)+(b+1),(a+2)+(b+2),...
(xi)1²,3²,5²,7²,...
(xii)1²,5²,7²,73,...

Answer 1

Answer:

I don't know

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Answer 2

Answer:

Step-by-step explanation:

Arithmetic progression have a standard difference between consequent numbers in the series.

The following are AP.

(i)3,6,12,24,...  (d= 6)

(ii)0,-4,-8,-12,... (d= -4)

(v)3,3,3,3,... (d = 0)

(iv) 12,2,-8,-18,... (d = -10)

(vi)p,p+90,p+180,p+270.... (d = 90)

(vii)1.0,1.7,2.4,3.1,... (d = 0.7)

(viii)-225,-425,-625,-825,... (d = -200)

(x)a+b,(a+1)+b,(a+1)+(b+1),(a+2)+(b+1),(a+2)+(b+2),... (d = 1)

These are not AP

(iii)1/2,1/4,1/6,1/8,...  

(ix)10,10+26,10+27

(xi)1²,3²,5²,7²,...

(xii)1²,5²,7²,73,...