Given arithmetic progression 9,13,17,21 find the 12th term and 24th term of this progression
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therefore 12th term and 24th term of given A.P. is 53 and 101 respectively
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The difference between progression is 4
Then, first term 9
=> 9 ÷ 4 = Quotient = 2 ; Remainder = 1
=> 9 = ( 4 × ( term + 1 ) + 1 )
=> 9 = ( 4 × 2 ) + 1
then, 12th term
=> ( 4 + ( 12 + 1 ) + 1 )
=> ( 4 × 13 ) + 1
=> 52 + 1
=> 53
24th term
=> ( 4 × ( 24 + 1 ) + 1 )
=> ( 4 × 25 ) + 1
=> 100 + 1
=> 101
You can also use arithmetic progression formula. I explain in detail.
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