Question

If a sequence is in the form 2×5^(n) then which of the following may be the sequence and state reasons? a) A.P b) G.P c)H.P d) None​

Answer 1

Answer:

Solution

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T

n

=S

n

−S

n−1

=2n

2

+5n−[2(n−1)

2

+5(n−1)]

=2n

2

+5n−2n

2

−2+4n−5n+5

∴T

n

=4n+3

T

1

=4(1)+3=7

T

2

=4(2)+3=11

T

3

=4(3)+3=15