Let both the series a 1 , a 2 , a 3 , … a_1, a_2, a_3, \dots a 1 ​ , a 2 ​ , a 3 ​ , … and b 1 , b 2 , b 3 , … b_1, b_2, b_3, \dots b 1 ​ , b 2 ​ , b ...

Question

Let both the series

a1,a2,a3,a_1, a_2, a_3, \dots
and
b1,b2,b3,b_1, b_2, b_3, \dots
be in arithmetic progression such that the common differences of both the series are prime numbers. If
a5=b9a_5 = b_9
,
a19=b19a_{19} = b_{19}
, and
b2=0b_2 = 0
, then
a11a_{11}
equals

Options

A.

79

B.

83

C.

86

D.

84

cat 2023arithmetic progressionprime numberscommon difference

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