Decide whether the given sequence 24,17,10,3...is an A.P.? If yes
find its common term (tn) .
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
hope it helps you buddy
