Question

$★\huge{\underline{\mathfrak{Question\::}}}$

which of the following sequence are A.P.? if they are A.P. find the common difference
1) 0.3 , 0.33 , .0333​

Answer 1

Answer:

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Step-by-step explanation:

Here, t1 = 0.3, t2 = 0.33, t3 = 0.333  ∴ t2 -t1 = 0.33 – 0.3 = 0.03  t3 – t2 = 0.333 – 0.33 = 0.003  ∴ t2 – t1 ≠ t3 – t2 The difference between two consecutive terms is not constant.  ∴ The given sequence is not an A.P. ii. The given sequence is 0, -4, -8, -12,…  Here, t1 = 0, t2 = -4, t3 = -8, t4 = -12  ∴ t2 – t1 = -4 – 0 = -4  t3 – t2 = -8 – (-4) = -8 + 4 = -4  t4 – t3 = -12 – (-8) = -12 + 8 = -4  ∴ t2 – t1 = t3 – t2 = … = - 4 = d = constant  The difference between two consecutive terms is constant.  ∴ The given sequence is an A.P. and common difference (d) = -4. The difference between two consecutive terms is constant.  ∴ The given sequence is an A.P. and common difference (d) = 0.Read more on Sarthaks.com - https://www.sarthaks.com/844762/which-of-the-following-sequences-are-a-if-they-are-find-the-common-difference-i-0-33-333-ii-12