If eleven A.M.'s are inserted between 28 and 10, then find the num | Filo

Class 11

Math

Algebra

Sequences and Series

590
150

If eleven A.M.'s are inserted between and , then find the number of integral A.M.'s.

Solution: After inserting eleven A.M.s the new series would have a common diffference

Hence every even A.M. would be integral as it would be of the form
where is an integer

Hence, integral A.M.'s.
590
150

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