Home
Class 12
MATHS
The numbers a(1),a(2),a(3),…….. form an ...

The numbers `a_(1),a_(2),a_(3),……..` form an arithmetic sequence with `a_(1)nea_(2)`. The three numbers `a_(1),a_(2)` and `a_(6)` form a geometric sequence in that order. Then the common difference of the arithmetic sequence is

A

a) `a_(1)`

B

b) `2a_(1)`

C

c) `3a_(1)`

D

d) `4a_(1)`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

If a_(1), a_(2), a_(3),…….,a_(20) are in AP and a_(1) + a_(20) = 45 , then a_(1) + a_(2) + a_(3)+……+a_(20) is equal to

If a_(1) , a_(2), a_(3) , cdots ,a_(n) are in A.P. with a_(1) =3, a_(n) =39 and a_(1) +a_(2) + cdots +a_(n) =210 then the value of n is equal to

Let a_(1),a_(2),a_(3),a_(4) and a_(5) be such that a_(1), a_(2) and a_(3) are in A.P. a_(2) ,a_(3) and a_(4) are in G.P and a_(3) ,a_(4) and a_(5) are in H.P . Then a_(1) ,a_(3) and a_(5) are in

Let a_(1) ,a_(2) ,a_(3) ,cdots ,a_(n) are in A.P such that a_(n) =100 , a_(10)- a_(39 ) = (3)/(5) then find the 15^(th) term of A.P. from end.

Let the sequence a_n be defined as a_1=1, a_n=a_(n-1)+2 for n ge 2 . Find first five terms and write corresponding series.

Let (1+x)^(n) = 1+a_(1)x + a_(2)x^(2) + ……+ a_(n)x^(n) . If a_(1), a_(2) and a_(3) are in AP, then the value of n is

If a_(n+1)= (1)/(1-a_(n)) for n gt=1 and a_(3) = a_(1) then find the value of (a_(2001))^(2001) .

Let a_(n) be the nth term of the G.P of positive numbers . Let sum_(n=1)^(100) a_(2n) = alpha and sum_(n=1)^(100) a_(2n-1) =beta such that alpha ne beta then the common ratio is