nth Term of an AP

If the differ...

Question

If the difference of 25th and 20th term of an increasing AP is 45, then what is the value of d?

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-9

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Solution

The correct option is B
9

Given, $a_{25} - a_{20} = 45$
$⟹$ $[a + (25 - 1) d] - [a + (20 - 1] d] = 45$
$⟹$ 24d - 19d = 45
$⟹$ 5d = 45
$⟹$ d = 9.

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