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Decide whether the given sequence 24,17,10,3…is an A.P.? If yes

find its common term (tn) .

Question

Decide whether the given sequence 24,17,10,3…is an A.P.? If yes

find its common term (tn) .

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Mathematics
3 months
2021-07-21T01:46:33+00:00
2021-07-21T01:46:33+00:00 1 Answers
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## Answers ( )

Step-by-step explanation:Which of the following sequences are A.P. ? If they are A.P. find the common difference .

(1) 2, 4, 6, 8,….

(2) 2, 52, 3, 73 ,….

(3) –10, –6, –2, 2…

(4) 0.3, 0.33, 0.333,…

(5) 0, –4, –8, –12,…

(6) −15,−15,−15,…

(7) 3, 3+2–√, 3+22–√, 3+32–√

(8) 127, 132, 137,…

ANSWER:

(1) 2, 4, 6, 8,….

The given sequence is an A.P.

Common difference = Second term − First term

= 4 − 2

= 2

(2) 2, 52, 3, 73 ,….

The given sequence is not an A.P.

(3) –10, –6, –2, 2…

The given sequence is an A.P.

Common difference = Second term − First term

= (−6) − (−10)

= 4

(4) 0.3, 0.33, 0.333,…

The given sequence is not an A.P.

(5) 0, –4, –8, –12,…

The given sequence is an A.P.

Common difference = Second term − First term

= (−4) − (0)

= −4

(6) −15,−15,−15,…

The given sequence is an A.P.

Common difference = Second term − First term

= (−15) − (−15)

= 0

(7) 3, 3+2–√, 3+22–√, 3+32–√

The given sequence is an A.P.

Common difference = Second term − First term

= 3+2–√−3

= 2–√

(8) 127, 132, 137,…

The given sequence is an A.P.

Common difference = Second term − First term

= (132) − (127)

= 5