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Find the sum of first 20 terms of an A.P...

Find the sum of first 20 terms of an A.P., in which 3rd term is 7 and 7th term is two more than thrice of its 3rd term.

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Let `a` be the first term and `d` be the common difference of the given `A.P`
Given,
`a_3​=7` and `a_7​=3a_3​+2`
`a+2d=7` and `a+6d=3(a+2d)+2`
`a+2d=7` and `a+6d=3a+6d+2`
`a+2d=7` and `a=3a+2`
...
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