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Common Difference

The arithmeti...

Question

The arithmetic sequence is given as:- -7, -4, -1, 2, 5 .......... Find their common difference and next term of the sequence.

Common difference

= 3

;

a_{6} = 8

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Common difference

= 2

;

a_{4} = 7

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Common difference

= 1

;

a_{6} = 5

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Common difference

= 0

;

a_{6} = 0

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Solution

The correct option is A Common difference $= 3$ ; $a_{6} = 8$
$a_{1} = - 7$
$a_{2} = - 4$
Common difference, $d = a_{2} - a_{1}$
$= - 4 - (- 7)$
$= - 4 + 7 = 3$
$d = 3$
The next term will be $a_{6}$ So, $a_{5} + d = a_{6}$
$5 + 3 = 8$
$∴$ The next term is 8

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The arithmetic sequence is given as:- -7, -4, -1, 2, 5 .......... Find their common difference and next term of the sequence.

The correct option is A Common difference =3; a6=8a1=−7a2=−4Common difference, d=a2−a1=−4−(−7)=−4+7=3d=3The next term will be a6 So, a5+d=a65+3=8∴ The next term is 8

The correct option is A Common difference $= 3$ ; $a_{6} = 8$
$a_{1} = - 7$
$a_{2} = - 4$
Common difference, $d = a_{2} - a_{1}$
$= - 4 - (- 7)$
$= - 4 + 7 = 3$
$d = 3$
The next term will be $a_{6}$ So, $a_{5} + d = a_{6}$
$5 + 3 = 8$
$∴$ The next term is 8