Math, asked by tharu6904, 7 months ago

The 17 th term of an AP exceeds its 10th term find d

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Answered by Anonymous
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Answer:

kindly complete your question

Answered by Anonymous
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\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.

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