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Let a n a_n a n ​ and b n b_n b n ​ be two sequences such that a n = 13 + 6 ( n − 1 ) a_n = 13 + 6(n-1) a n ​ = 13 + 6 ( n − 1 ) and b n = 15 + 7 ( n ...

CAT Medium Sequence & Series (AP, GP, HP) MCQ

Question

Let

ana_n
and
bnb_n
be two sequences such that
an=13+6(n−1)a_n = 13 + 6(n-1)
and
bn=15+7(n−1)b_n = 15 + 7(n-1)
for all natural numbers
nn
. Then, the largest three-digit integer that is common to both these sequences is

Options

A.

967

B.

943

C.

983

D.

953

cat 2023arithmetic progressioncommon termsthree-digit numbers

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