Question

If for an A. P.d =11 . what is t 17 -t 15
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Answer 1

Answer:

t17-t15

a+(17-1)d-a-(15-1)d

16d-14d

=2d

Answer 2

Appropriate Question :

If in an AP, common difference = 11 then what is the value of T17 - T15.

Solution :-

An AP is a sequence of numbers in which each term is obtained by adding a common difference to it's previous term except the first term.

General term of an AP is given by,

$\boxed{ \sf a_n = a + (n - 1)d}$

By using this result, we can find the required value which is asked in the question.

$\sf\implies T_{17} - T_{15}$

$\sf\implies a + (17 - 1)d - \left[a + (15 - 1)d \right]$

$\sf\implies a + 16d - \left[a + 14d \right]$

$\sf\implies a + 16d - a - 14d$

$\sf\implies 2d$

$\sf\implies 2(11)$

$\sf\implies 22$

Hence the required answer is 22