Question

5. Prove that no matter what the real numbers a al
a + nb is always an A.P. What is the common difference?
6. 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,...
1 1 1 1
2'4' 6 8
(iv) 12,2,-8, -18....
(v) 3,3,3,3,...
(vi) p.p+90, p + 180, p + 270... where p = (999)
(vii) 1.0, 1.7, 2.4, 3.1,...
(viii) - 225,- 425,- 625,- 825....
(ix) 10,10+25, 10 + 26, 10+ 2....
(x) a + b, (a +1) + b, (a + 1) + (b + 1), (a + 2) + (b + 1), (a + 2) + (b + 2).....
(xi) 12,32,5,72,...
(xii) 12,52,72,73,...
7. Find the common difference of the AP and write the next two terms:
(i) 51, 59, 67,75...
(ii) 75, 67,59,51. ...
1 1 3
(ii) 1.8, 2.0, 2.2, 2.4, ...
(iv) 0,
4'2'4'
(v) 119, 136, 153, 170, ...​

Answer 1

Answer:

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