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8. Sequences and Series
easy
$8^{th}$ term of the series $2\sqrt 2 + \sqrt 2 + 0 + .....$ will be
A
$ - 5\sqrt 2 $
B
$5\sqrt 2 $
C
$10\sqrt 2 $
D
$ - 10\sqrt 2 $
Solution
(a) Obviously the given series $2\sqrt 2 + \sqrt 2 + 0 + …….$ is an $A.P.$
Here $a = 2\sqrt 2 ,\;d = – \sqrt 2 $.
Hence ${8^{th}}$ term of the series
$ = 2\sqrt 2 + (8 – 1)( – \sqrt 2 ) = – 5\sqrt 2 $.
Standard 11
Mathematics