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Standard XII

Mathematics

nth Term of A.P

If the common...

Question

If the common difference of an A.P. is $3$ , then $a_{20} - a_{15}$ is

5

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3

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15

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20

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Solution

The correct option is B $15$
Given: $d = 3$
We know:
$a_{n} = a + (n - 1) d$
$∴ a_{20} - a_{15} = [a + 19 d] - [a + 14 d]$
$= 5 d$
$= 5 \times 3$
$= 15$
Hence, the answer is $15$ .

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If the common difference of an A.P. is 3, then a20−a15 is

The correct option is B 15Given: d=3We know:an=a+(n−1)d∴a20−a15=[a+19d]−[a+14d] =5d =5×3 =15Hence, the answer is 15.

If the common difference of an A.P. is $3$ , then $a_{20} - a_{15}$ is

The correct option is B $15$
Given: $d = 3$
We know:
$a_{n} = a + (n - 1) d$
$∴ a_{20} - a_{15} = [a + 19 d] - [a + 14 d]$
$= 5 d$
$= 5 \times 3$
$= 15$
Hence, the answer is $15$ .