Question

the sum of first 10 terms of an ap is 55 and the sum of first 9 terms of the same ap is 45.then it's 10th term is​

Answer 1

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Answer 2

Given,

The sum of first 10 terms of an AP = 55

The sum of first 9 terms of an AP = 45

To find,

The tenth term of the given AP.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

The sum of first 10 terms = The sum of first 9 terms + 10th term = 55

So,

The sum of first 9 terms + 10th term = 55

45 + 10th term = 55

10th term = 55-45

10th term = 10

(This will be considered as the tenth term of the given AP series.)

Hence, the tenth term of AP is 10