Question

the 17th term of an AP exceed is 10th term by 7. find the common differnce
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Answer 1

Answer:

common difference =7

Step-by-step explanation:

17th term=a+16d

10th term=a+9d

BTP,

a+16d-a-9d=7

7d=7

d=1

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Answer 2

$\bold{\huge\red{\boxed{{{QUESTION}}}}}$

the 17th term of an AP exceed is 10th term by 7. find the common differnce

$\bold{\huge\red{\boxed{{{ANSWER}}}}}$

$Let \: a \: be \: the \: first \: term \: and \\ \: d \: be \: the \: common \: diffrence \: of \: the \: given \: AP \\ \\ Now, \: according \: to \: the \: question \: a17 = a10 + 7 \\ = > a17 - a10 = 7 \\ = > a + (17 - 1)d - a + (10 - 1)d = 7 \\ ( an = a + (n - 1)d) \\ \\ = > \: \: (a + 16d) - (a + 9d) = 7 \\ = > \: 7d \: = 7 \\ = > \: \: d = 1 \\ \\ Hence, \: the \: common \: diffrence \: of \: this \: ap \: is \: 1.$