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Standard X

Mathematics

Common Difference

Chose the cor...

Question

Chose the correct option for the following sequence:
$- 25, - 23, - 21, - 19..$

is an

A . P .

Reason

d = 3

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is an

A . P .

Reason

d = 2

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is an

A . P .

Reason

d = 4

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is not an

A . P .

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Open in App

Solution

The correct option is B is an $A . P .$ Reason $d = 2$
$- 25, - 23, - 21, - 19$
Common difference $= 2$
Hence series in AP

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Similar questions

Q. Choose the correct alternative answer for each of the following sub questions.
(1) The sequence –10, –6, –2, 2,...

(A) is an A.P., Reason d= –16	(B) is an A.P., Reason d= 4
(C) is an A.P., Reason d= –4	(D) is not an A.P.

(2) First four terms of an A.P. are ....., whose first term is –2 and common difference is –2.

(A) –2, 0, 2, 4	(B) –2, 4, –8, 16
(C) –2, –4, –6, –8	(D) –2, –4, –8, –16

(3) What is the sum of the first 30 natural numbers ?

(A) 464

(B) 465

(D) 461

(4) For an given A.P. t₇ = 4, d = –4, n = 101, then a = ....

(A) 6

(B) 7

(D) 28

(5) For an given A.P. a = 3.5, d = 0, n = 101, then t_n = ....

(A) 0

(B) 3.5

(D) 14.5

(6) In an A.P. first two terms are –3, 4 then 21^st term is ...

(A) –143

(B) 143

(D) 17

(7) If for any A.P. d = 5 then t₁₈ – t₁₃ = ....

(A) 5

(B) 20

(D) 30

(8) Sum of first five multuiples of 3 is...

(A) 45

(B) 55

(D) 75

(9) 15, 10, 5,... In this A.P sum of first 10 terms is...

(A) –75

(B) –125

(D) 125

(10) In an A.P. 1^st term is 1 and the last term is 20. The sum of all terms is = 399 then n = ....

(A) 42

(B) 38

(D) 19

Q. State with reason, whether the sequence

12, 14, 16, 18, 22, 24, 2, 28, 32, 34, 36, 38,

is an

A.P.

or not.

Q. Assertion :Let the positive numbers

a, b, c

be in A.P., then

\frac{1}{b c}, \frac{1}{a c}, \frac{1}{a b}

are also in A.P. Reason: If each term of an A.P. is divided by

a b c

, then the resulting sequence is also in A.P.

Q. Let

A . P . (a, d)

denotes the set of all the terms of an infinite arithmetic progression with first term

a

and common difference

d > 0

. If

A . P . (1, 4) \cap A . P . (1, 5) \cap A . P . (3, 3) = A . P . (a, d)

then

The value of d (common difference) of an A.P. such that the three consecutive terms of an A.P. are the consecutive terms of the G.P. (a is the first term of the A.P)

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Chose the correct option for the following sequence:−25,−23,−21,−19..

The correct option is B is an A.P. Reason d=2−25,−23,−21,−19Common difference=2Hence series in AP

Chose the correct option for the following sequence:
$- 25, - 23, - 21, - 19..$

The correct option is B is an $A . P .$ Reason $d = 2$
$- 25, - 23, - 21, - 19$
Common difference $= 2$
Hence series in AP