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In the list of 4, 9, 14, 19, 24, …. the first term is 4 and each term thereafter is 5 more than the previous term. Calculate the difference between the 5790th term and the 5795th term.

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answer is D.

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Detailed Solution

The correct answer is 25.
Here, the first term is 4
The difference between the terms is 5
Now,

t n = t 1 + n − 1 d t n = 4 + 5 n − 1 t n = 5 n − 1

For, 5790th term and the 5795th term.

t 5790 = 5 × 5790 − 1 t 5795 = 5 × 5795 − 1

Their difference:

t 5795 − t 5790 = 5 × 5795 − 1 − 5 × 5790 − 1 = 5 5795 − 5790 = 25

The answer is 25.
Exam: CBSE

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