Math, asked by vanshtejiya, 11 months ago

The 17th term of an A.P. exceeds its 10th term by 7. Find the common difference. ​

Answers

Answered by avinashbeeraka
8

Answer:

1

Step-by-step explanation:

According to the question,

a17 = a10 + 7

a + 16d = a + 9d + 7

16d = 9d + 7

16d - 9d = 7

7d = 7

d = 1

Therefore, the common difference of the A.P is 1.

Hope this helps you!!!

Answered by Anonymous
3

\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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