The common difference of the A . P .   b 1 ,   b 2 , . . . . , b m is 2 more than common…

The common difference of the A.P. b1, b2,....,bm is 2 more than common difference of A.P. a1, a2, ....., an. If a40=-159, a100=-399 and b100=a70, then b1 is equal to :
  1. 81
  2. -127
  3. -81
  4. 127

Solution

Let a1,a1+d1,a1+2d.................first A.P.

a40=a1+39d=-159.....................(1)

a100=a1+99d=-399....................(2)

d=-4,a1=-3

now

b100=a70

b1+99D=a1+69d

b1+99(-2)=-3+69(-4)

(Accoding to question D=d+2)

b1=-81

Asked in: JEE Main 2020 (06 Sep Shift 2)

Practice more Sequences and Series questions on Aicharya