Question

F Find the next term of the AP.√2,√8,√18 is
​

Answer 1

Given sequence

2

,

8

,

18

,...

We know that

8

=2

2

,

18

=3

2

Hence the sequence can be rewritten as

2

,2

2

,3

2

,...

Here a=

2

,d=2

2

−

2

=

2

Therefore next term is t

4

=a+3d=

2

+3

2

=4

2

=

32

Thus the next term is 4

2

or

32

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Answer 2

Answer:

Given sequence

√2,√8, √18 ,...

We know that

√8 =2√2 ,√18 = 3√2

Hence the sequence can be rewritten as

2 ,2√2 ,3√2 ,...

Here a= √2 ,d=2√2 − √2 = √2

Therefore next term is t4 = a + 3d = √2 +3√2 = 4√2 = √32

Thus the next term is 4√2 or √32