Question

if 2p+1,13,5p-3 are in AP then find the value of p​

Answer 1

ANSWER.....

FOR THREE NUMBER IN AP THERE IS A CONDITION WHICH NEED TO BE FOLLOW.

THE DIFFERENCE BETWEEN FIRST AND SECOND NUMBER IS SAME TO THAT BETWEEN THREE AND TWO

$first \: term = 2p + 1 \\ second \: term = 13 \\ third \: term = 5p - 3 \\ \\ 2nd \: term - 1st \: term = 3rd \: term - 2nd \: term \\ \\ 13 - (2p + 1 )= 5p - 3 - (2p + 1) \\ \\ 13 - (5p - 3) = 2(2p + 1) \\ \\ 13 - 5p + 3 = 4p + 2 \\ \\ 16 - 5p = 4p + 2 \\ \\ 14 = 9p \\ \\ p = \frac{14}{9} ..... |answer|$

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