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The average of a non-decreasing sequence of N N N numbers a 1 , a 2 , … , a N a_1, a_2, \dots, a_N a 1 ​ , a 2 ​ , … , a N ​ is 300. If a 1 a_1 a 1 ​ ...

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

Question

The average of a non-decreasing sequence of

NN
numbers
a1,a2,…,aNa_1, a_2, \dots, a_N
is 300. If
a1a_1
is replaced by
6a16a_1
, the new average becomes 400. Then, the number of possible values of
a1a_1
is:

Answer Format

Enter your answer as an integer value

cat 2022averagenon-decreasing sequencealgebraic analysis

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