Find out which of the following sequences are arithmetic progressions. For those which ar3e arithmetic progressions, find out the common difference. (i) 3,6,12,24… (ii) 0,−4,−8,−12… (iii) 12,14,16.18,… (iv) 12,2,−8,−18,… (v) 3,3,33,3,… (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+25,10+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,…

Find out which of the following sequences are arithmetic progressions.

1.	Find out which of the following sequences are arithmetic progressions. For those which ar3e arithmetic progressions, find out the common difference. (i) 3,6,12,24… (ii) 0,−4,−8,−12… (iii) 12,14,16.18,… (iv) 12,2,−8,−18,… (v) 3,3,33,3,… (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+25,10+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» Find out which of the following sequences are arithmetic progressions. For those which ar3e arithmetic progressions, find out the common difference. (i) $3, 6, 12, 24 \dots$ (ii) $0, - 4, - 8, - 12 \dots$ (iii) $\frac{1}{2}, \frac{1}{4}, \frac{1}{6} . \frac{1}{8}, \dots$ (iv) $12, 2, - 8, - 18, \dots$ (v) $3, 3, 33, 3, \dots$ (vi) $p, p + 90, p + 180, p + 270, \dots$ where $p = (999)^{999}$ (vii) $1.0, 1.7, 2.4, 3.1, \dots$ (viii) $- 225, - 425, - 625, - 825, \dots$ (ix) $10 + 10 + 2^{5}, 10 + 2^{6}, 10 + 2^{7}, \dots$ (x) $a + b, (a + 1) + b, (a + 1) + (b + 1), (a + 2) + (b + 1), (a + 2) + (b + 2), \dots$ (xi) $1^{2}, 3^{2}, 5^{2}, 7^{2}, \dots$ (xii) $1^{2}, 5^{2}, 7^{2}, 7^{3}, \dots$

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