Question

Which of the following is not an A.P. ?
(A) - 1.2, 0.8, 2.8, ...
(B) 3,3 + 2,3 +212,3 + 3/2, ...
(C)
(C)
4 7 9 12
73' 3​

Answer 1

Answer:

ANSWER IS OPTION IS ( C )

Answer 2

Option C -  4,7,9,12,..

Step-by-step explanation:

To find : Which of the following is not an A.P. ?

Solution :

For Arithmetic progression the series have common difference in two consecutive terms i.e. $a_2-a_1=a_3-a_2$

(A) - 1.2, 0.8, 2.8, ...

Here, $a_1=-1.2,a_2=0.8,a_3=2.8$

$0.8-(-1.2)=2.8-0.8$

$2=2$

So, the series given is an A.P.

(B) $3,3+\frac{1}{2},3+\frac{2}{2},3+\frac{3}{2},..$

Here, $a_1=3,a_2=3+\frac{1}{2}=\frac{7}{2},a_3=3+\frac{2}{2}=4$

$\frac{7}{2}-3=4-\frac{7}{2}$

$\frac{1}{2}=\frac{1}{2}$

So, the series given is an A.P.

(C) 4,7,9,12,..

Here, $a_1=4,a_2=7,a_3=9$

$7-4=9-7$

$3\neq 2$

So, the series given is not an A.P.

Therefore, option C is correct.

#Learn more

Q. Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.

(i) 2, 4, 8, 16 …

(ii) 2, 5/2, 3, 7/2 ....

(iii) -1.2, -3.2, -5.2, -7.2 …

(iv) -10, - 6, - 2, 2 …

(v) 3, 3 + √2, 3 + 2√2, 3 + 3√2

(vi) 0.2, 0.22, 0.222, 0.2222 ….

(vii) 0, - 4, - 8, - 12 …

(viii) -1/2, -1/2, -1/2, -1/2 ....

(ix) 1, 3, 9, 27 …

(x) a, 2a, 3a, 4a …

(xi) a, a2, a3, a4 …

(xii) √2, √8, √18, √32 ...

(xiii) √3, √6, √9, √12 ...

(xiv) 12, 32, 52, 72 …

(xv) 12, 52, 72, 73 …

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