A scuba diver was collecting water samples from a lake he collected samples at 5min intervals starting at 5 m below the surface he collected the final sample at a depth of 35m .How many samples did he collect

Dear student,

This question can be solved by an Arithmetic Progression.
where,
 depth at which final sample collected, an=35intervals to collect a sample, d=5and Starting collected at 5m below the surface a=5Number of samples he collected, n=?Now, we know an=a+(n-1)d35=5+(n-1)×535=5+5n-535=5nn=355n=7Thus, the number of samples he collected is 7
Regards

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