1.

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

Answer»

Given

A word problem

To FIND

Common DIFFERENCE =cd

Solution

According to the question

17th term = 10th term + 7 ( In an easy language)

we have to find 17th and 10th term

\implies{T_n}=a+(n-1)d}

Now \implies{T_{10}}

\implies{T_{10}=a+(10-1)d}

\implies{T_{10}=a+(9)d}

\implies{T_{19}=a+9d}

SIMILARLY \implies{T_17}

\implies{T_{17}=a+(17-1)d}

\implies{T_{17}=a+16d}

Putting the values

=>a+16d=a+9d+7

=>16d-9d=7

=>7d=7

d=1

Hence,the VALUE of common difference be 1



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