The next number in sequence is 185.
What is arithmetic progression?
A sequence within which each term is made by adding or subtracting an explicit variety to the preceding variety is an arithmetic sequence.
Main body:
Step 1:
Find the pattern and write the recursive formula: [tex]\left \{ {{a_{n+1} =a_{n} +12} \atop {a_{n+1} =a_{n} +13}} \right.[/tex]
as the sequence is 123,135,148,160,173..
so 1st term 12 is added in 2nd term 13 is added
so after 173 , 12 will be added ,
173+12 = 185
hence, the next number in sequence is 185.
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